In this paper, some necessary and sufficient conditions that a finite lattice implication algebra is simple are established. Specially, it is proved that a finite lattice implication algebra L is simple if and only if...In this paper, some necessary and sufficient conditions that a finite lattice implication algebra is simple are established. Specially, it is proved that a finite lattice implication algebra L is simple if and only if （L, ≤） is a chain, if and only if there exists the unique dual atom in L. Also, it is given that a finite lattice implication algebra with order of a prime number is simple.展开更多
In this paper, a Frame nucleus and prime elements in a Prequantale are defined. The concrete structure of a Frame prequantic quotient is considered, and the relation between the half-prime element and the Frame nucleu...In this paper, a Frame nucleus and prime elements in a Prequantale are defined. The concrete structure of a Frame prequantic quotient is considered, and the relation between the half-prime element and the Frame nucleus in a two-side Prequantale are obtained.展开更多
In Artin algebra representation theory there is an important result which states that when the order of G is invertible in A then gl.dim（AG）=gl.dim（A）. With the development of Hopf algebra theory, this result is g...In Artin algebra representation theory there is an important result which states that when the order of G is invertible in A then gl.dim（AG）=gl.dim（A）. With the development of Hopf algebra theory, this result is generalized to smash product algebra. As known, weak Hopfalgebra is an important generalization of Hopf algebra. In this paper we give the more general result, that is the relation of homological dimension between an algebra A and weak smash product algebra A#H, where H is a finite dimensional weak Hopf algebra over a field k and A is an H-module algebra.展开更多
A new concept Graded Finite Poset is proposed in this paper. Through discussing some basic properties of it, we come to that the direct product of graded finite posets is connected if and only if every graded finite p...A new concept Graded Finite Poset is proposed in this paper. Through discussing some basic properties of it, we come to that the direct product of graded finite posets is connected if and only if every graded finite poset is connected. The graded function of a graded finite poset is unique if and only if the graded finite poset is connected.展开更多
The reactions of cationic zirconium oxide clusters （ZrxOy^＋） with ethylene （C2H4） were investigated by using a time-of-flight mass spectrometer coupled with a laser ablation/supersonic expansion cluster source. S...The reactions of cationic zirconium oxide clusters （ZrxOy^＋） with ethylene （C2H4） were investigated by using a time-of-flight mass spectrometer coupled with a laser ablation/supersonic expansion cluster source. Some hydrogen containing products （ZrO2）xH^＋（x=-1-4） were observed after the reaction. The density functional theory calculations indicate that apart from the common oxygen transfer reaction channel, the hydrogen abstraction channel can also occur in （ZrO2）x^＋＋C2H4, which supports that the observed （ZrO2）xH^＋ may be due to （ZrO2）x^＋＋C2H4→（ZrO2）xH^＋＋C2H3. The rate constants of different reaction channels were also calculated by Rice-Rarnsberger-Kassel-Marcus theory.展开更多
The notions of u-quasi-Hopf algebras and the quantum dimension dimuM of a representation M by u are introduced.It is shown that a u-quasi-Hopf algebra H is semisimple if and only if there is a finite-dimensional proje...The notions of u-quasi-Hopf algebras and the quantum dimension dimuM of a representation M by u are introduced.It is shown that a u-quasi-Hopf algebra H is semisimple if and only if there is a finite-dimensional projective H-module P such that dimu P is invertible.展开更多
One of the most important tools in film analysis is ＂segmentation＂, as defined by the major film theorist Christian Metz, with the help of the ＂great syntagmatic＂ （Grande Syntagmatique）; an array, which will gua...One of the most important tools in film analysis is ＂segmentation＂, as defined by the major film theorist Christian Metz, with the help of the ＂great syntagmatic＂ （Grande Syntagmatique）; an array, which will guarantee the classification of any kind of shot in any kind of film and its consequent decoding. The division into sections allowed a clinical approach of high validity, highlighting the hidden rhymes, the power of repetition, the underlying pulses of the film, ＂decoding＂, in a way, their soul; in essence their meaning. However, by the mid-1970s, the semiotics of cinema was considered outdated and unrealistic, mainly because it failed to solve a problem to which it was believed that it held the key to guarantee the ＂translation＂ of any abstract cinematic form. In this text, we attempt to explore what semiotics can do today and how far ＂segmentation＂ can take us in the face of a particularly ＂opaque＂ film, which is made of fragments of impressions, disparate elements and contrasts, such as The Tree of Life （2011） by Terrence Malick.展开更多
Christopoulou Demetra（In his work, Hermann Weyl （1926） addresses the issue of abstraction principles, an issue that has been broadly discussed during the last decades with regard to the Neo-Fregean program. This pa...Christopoulou Demetra（In his work, Hermann Weyl （1926） addresses the issue of abstraction principles, an issue that has been broadly discussed during the last decades with regard to the Neo-Fregean program. This paper aims to show off the way Weyl＇s account of abstraction could offer a reply to Benacerraf＇s （1973） challenge to realism. Benacerraf argued that mathematical realism is not associated with a plausible epistemology about human access to abstract objects. Weyl deals with the method of abstraction by investigating certain cases of Fregean abstraction principles. He thinks that we can introduce shapes of geometrical images, integers mod m, circles, directions of lines etc. by means of certain creative acts of consciousness, especially intentionality towards proper relations between the elements of an initial domain. Weyl puts emphasis on intentions towards certain invariant characteristics of items that are involved in equivalence relations. Further, he claims that those invariants are transformed into ideal objects through a finite process that is involved in intuition. This paper, in the first place, attempts to make explicit Weyl＇s phenomenological leanings. Secondly, it argues that Weyl＇s explanation of how ideal mathematical objects become present to mind can address the epistemic issue concerning mathematical knowledge and can also be associated with a particular view which is implicit in his philosophy and retains realistic elements. Hence, it can address Benacerraf＇s problem.展开更多
TALKING with Xu Dongdong is a pleasure.His gentle voice with its authentic Beijing burr is easy on the ear.Occasionally laughing out loud,he reveals a frank and free personality.Our topics of discussion ranged from th...TALKING with Xu Dongdong is a pleasure.His gentle voice with its authentic Beijing burr is easy on the ear.Occasionally laughing out loud,he reveals a frank and free personality.Our topics of discussion ranged from the arts and philosophy to quantum mechanics,from traditional Oriental culture to the industrial revolution in the West,and from his early years in painting studies to the Chinese-style abstract paintings that he now展开更多
With the advent of the informatian age, people are working to build a new knowledge network, knowledge of the past gradually pieced together again. The new knowledge network includes not only advanced science and tech...With the advent of the informatian age, people are working to build a new knowledge network, knowledge of the past gradually pieced together again. The new knowledge network includes not only advanced science and technology, but also includes the historical and cultural value, emotion and sense of innovation. Graphic design is a spiritual and material reality and artistic, aesthetic and practical disciplines integrated with each other. Always take the old approach to their creative confined in a narrow space, and this will inevitably lead to failure. Graphic design must rely on the sense of innovation, combined with the image of abstract thinking; ideas can really create unique designs. Therefore, to enhance training in graphic design innovative design capabilities, innovation and the development of graphic design is an important issue. In this paper, graphic design requirements and the role of innovation capacity will be explared, and the method of application of proposed innovative thinking in graphic design process will be provided.展开更多
Let A and F be left and right Noetherian rings and ∧ωr a cotilting bimodule. A necessary and sufficient condition for a finitely generated A-module to be ω-k-torsionfree is given and the extension closure of Tω^i ...Let A and F be left and right Noetherian rings and ∧ωr a cotilting bimodule. A necessary and sufficient condition for a finitely generated A-module to be ω-k-torsionfree is given and the extension closure of Tω^i is discussed. As applications, we give some results of ∧ωr related to l.id（ω） ≤ k.展开更多
基金Supported by a grant of Natural Science Foundation of Guangdong Province in China（021073）
文摘In this paper, some necessary and sufficient conditions that a finite lattice implication algebra is simple are established. Specially, it is proved that a finite lattice implication algebra L is simple if and only if （L, ≤） is a chain, if and only if there exists the unique dual atom in L. Also, it is given that a finite lattice implication algebra with order of a prime number is simple.
文摘In this paper, a Frame nucleus and prime elements in a Prequantale are defined. The concrete structure of a Frame prequantic quotient is considered, and the relation between the half-prime element and the Frame nucleus in a two-side Prequantale are obtained.
基金Project supported by the Cultivation Fund of the Key Scientific and Technical Innovation Project, Ministry of Education of China (No. 704004), the Program for New Century Excellent Talents in Univer-sity (No. 04-0522), and the Natural Science Foundation of Zhejiang Province (No. 102028), China
文摘In Artin algebra representation theory there is an important result which states that when the order of G is invertible in A then gl.dim（AG）=gl.dim（A）. With the development of Hopf algebra theory, this result is generalized to smash product algebra. As known, weak Hopfalgebra is an important generalization of Hopf algebra. In this paper we give the more general result, that is the relation of homological dimension between an algebra A and weak smash product algebra A#H, where H is a finite dimensional weak Hopf algebra over a field k and A is an H-module algebra.
基金Supported by the National Natural Science Foundation of China（60474022） Supported by the Henan Innovation Project for University Prominent Research Talents（2007KYCX018）
文摘A new concept Graded Finite Poset is proposed in this paper. Through discussing some basic properties of it, we come to that the direct product of graded finite posets is connected if and only if every graded finite poset is connected. The graded function of a graded finite poset is unique if and only if the graded finite poset is connected.
基金VI. ACKNOWLEDGEMENTS This work was supported by the Hundred Talents fund of The Chinese Academy of Sciences, the National Natural Science Foundation of China （No.20703048, No.20803083, and No.20933008）, the Center for Molecular Science Foundation of Institute of Chemistry, Chinese Academy of Sciences （No.CMS-CX200803）, and the National Basic Research Programs of China （No.2006CB932100 and No.2006CB806200）.
文摘The reactions of cationic zirconium oxide clusters （ZrxOy^＋） with ethylene （C2H4） were investigated by using a time-of-flight mass spectrometer coupled with a laser ablation/supersonic expansion cluster source. Some hydrogen containing products （ZrO2）xH^＋（x=-1-4） were observed after the reaction. The density functional theory calculations indicate that apart from the common oxygen transfer reaction channel, the hydrogen abstraction channel can also occur in （ZrO2）x^＋＋C2H4, which supports that the observed （ZrO2）xH^＋ may be due to （ZrO2）x^＋＋C2H4→（ZrO2）xH^＋＋C2H3. The rate constants of different reaction channels were also calculated by Rice-Rarnsberger-Kassel-Marcus theory.
文摘The notions of u-quasi-Hopf algebras and the quantum dimension dimuM of a representation M by u are introduced.It is shown that a u-quasi-Hopf algebra H is semisimple if and only if there is a finite-dimensional projective H-module P such that dimu P is invertible.
文摘One of the most important tools in film analysis is ＂segmentation＂, as defined by the major film theorist Christian Metz, with the help of the ＂great syntagmatic＂ （Grande Syntagmatique）; an array, which will guarantee the classification of any kind of shot in any kind of film and its consequent decoding. The division into sections allowed a clinical approach of high validity, highlighting the hidden rhymes, the power of repetition, the underlying pulses of the film, ＂decoding＂, in a way, their soul; in essence their meaning. However, by the mid-1970s, the semiotics of cinema was considered outdated and unrealistic, mainly because it failed to solve a problem to which it was believed that it held the key to guarantee the ＂translation＂ of any abstract cinematic form. In this text, we attempt to explore what semiotics can do today and how far ＂segmentation＂ can take us in the face of a particularly ＂opaque＂ film, which is made of fragments of impressions, disparate elements and contrasts, such as The Tree of Life （2011） by Terrence Malick.
文摘Christopoulou Demetra（In his work, Hermann Weyl （1926） addresses the issue of abstraction principles, an issue that has been broadly discussed during the last decades with regard to the Neo-Fregean program. This paper aims to show off the way Weyl＇s account of abstraction could offer a reply to Benacerraf＇s （1973） challenge to realism. Benacerraf argued that mathematical realism is not associated with a plausible epistemology about human access to abstract objects. Weyl deals with the method of abstraction by investigating certain cases of Fregean abstraction principles. He thinks that we can introduce shapes of geometrical images, integers mod m, circles, directions of lines etc. by means of certain creative acts of consciousness, especially intentionality towards proper relations between the elements of an initial domain. Weyl puts emphasis on intentions towards certain invariant characteristics of items that are involved in equivalence relations. Further, he claims that those invariants are transformed into ideal objects through a finite process that is involved in intuition. This paper, in the first place, attempts to make explicit Weyl＇s phenomenological leanings. Secondly, it argues that Weyl＇s explanation of how ideal mathematical objects become present to mind can address the epistemic issue concerning mathematical knowledge and can also be associated with a particular view which is implicit in his philosophy and retains realistic elements. Hence, it can address Benacerraf＇s problem.
文摘TALKING with Xu Dongdong is a pleasure.His gentle voice with its authentic Beijing burr is easy on the ear.Occasionally laughing out loud,he reveals a frank and free personality.Our topics of discussion ranged from the arts and philosophy to quantum mechanics,from traditional Oriental culture to the industrial revolution in the West,and from his early years in painting studies to the Chinese-style abstract paintings that he now
文摘With the advent of the informatian age, people are working to build a new knowledge network, knowledge of the past gradually pieced together again. The new knowledge network includes not only advanced science and technology, but also includes the historical and cultural value, emotion and sense of innovation. Graphic design is a spiritual and material reality and artistic, aesthetic and practical disciplines integrated with each other. Always take the old approach to their creative confined in a narrow space, and this will inevitably lead to failure. Graphic design must rely on the sense of innovation, combined with the image of abstract thinking; ideas can really create unique designs. Therefore, to enhance training in graphic design innovative design capabilities, innovation and the development of graphic design is an important issue. In this paper, graphic design requirements and the role of innovation capacity will be explared, and the method of application of proposed innovative thinking in graphic design process will be provided.
文摘Let A and F be left and right Noetherian rings and ∧ωr a cotilting bimodule. A necessary and sufficient condition for a finitely generated A-module to be ω-k-torsionfree is given and the extension closure of Tω^i is discussed. As applications, we give some results of ∧ωr related to l.id（ω） ≤ k.
