This paper presents the limiting expression for the gen calized inverse A T.S(2) and itscorresgonding projectors Since comonon imnortors inverses,such as and AT.S(2) etc are all generalized in e e AT.S(2) In fact,we g...This paper presents the limiting expression for the gen calized inverse A T.S(2) and itscorresgonding projectors Since comonon imnortors inverses,such as and AT.S(2) etc are all generalized in e e AT.S(2) In fact,we give a unified limiting formula of computine such imporiant generalined inverses and its corresponding proiectors,Based on this we estalish and imbedling method fire compoting the generalized in verse AT.S(2) The results extend earlier work by various authors.展开更多
In this paper, we investigate Ding projective dimensions and Ding injective di- mensions of modules and rings. Let R be a ring with rDPD（R） = n 〈 ∞, and let YYl = {Mild（M） 〈 ∞}. We prove that （DP,W1） is a co...In this paper, we investigate Ding projective dimensions and Ding injective di- mensions of modules and rings. Let R be a ring with rDPD（R） = n 〈 ∞, and let YYl = {Mild（M） 〈 ∞}. We prove that （DP,W1） is a complete hereditary cotorsion pair such that a module M belongs to DD∩W1 if and only if M is projective, moreover, 1421 = （M[pd（M） 〈 ∞} = {MIfd（M） ≤ n} = {MIpd（M） ≤ n}. Then we introduce and inves- tigate Ding derived functor Dext^i（-, -）, and use it to characterize global Ding dimension. We show that if R is a Ding-Chen ring, or if R is a ring with rDPD（R） 〈≤ and rDID（R） 〈 ≤, then rDPD（R） 〈 n if and only if rDID（R） 〈 n if and only if Dext^n＋i（M,N） = 0 for all modules M and N and all integer i ≥ 1.展开更多
Ding's Manor is a Hakka's folk dwelling characterized by both Hakka's cultures on the Central Plain and also cultures of north Sichuan, and a typical Hakka's architecture in Sichuan Province. Design of...Ding's Manor is a Hakka's folk dwelling characterized by both Hakka's cultures on the Central Plain and also cultures of north Sichuan, and a typical Hakka's architecture in Sichuan Province. Design of the manor concentrates rich cultures, arts and beliefs of the Hakka, thus exploration of Ding's Manor, specifically, its site layout showing Fengshui doctrines of the Hakka, architectural style and watchtower with strict structures, and exquisite decorative arts, show architectural technology and wisdom of the Hakka, and also artistic characteristics of the Hakka's folk dwellings in a certain historical environment, which provides a favorable reference for the construction of modern folk dwellings.展开更多
基金This project is supported by the National Natural Science Foundation of China.
文摘This paper presents the limiting expression for the gen calized inverse A T.S(2) and itscorresgonding projectors Since comonon imnortors inverses,such as and AT.S(2) etc are all generalized in e e AT.S(2) In fact,we give a unified limiting formula of computine such imporiant generalined inverses and its corresponding proiectors,Based on this we estalish and imbedling method fire compoting the generalized in verse AT.S(2) The results extend earlier work by various authors.
基金Supported by the National Natural Science Foundation of China(11201424)the Zhejiang Natural Science Foundation of China(LY12A01026)
文摘In this paper, we investigate Ding projective dimensions and Ding injective di- mensions of modules and rings. Let R be a ring with rDPD（R） = n 〈 ∞, and let YYl = {Mild（M） 〈 ∞}. We prove that （DP,W1） is a complete hereditary cotorsion pair such that a module M belongs to DD∩W1 if and only if M is projective, moreover, 1421 = （M[pd（M） 〈 ∞} = {MIfd（M） ≤ n} = {MIpd（M） ≤ n}. Then we introduce and inves- tigate Ding derived functor Dext^i（-, -）, and use it to characterize global Ding dimension. We show that if R is a Ding-Chen ring, or if R is a ring with rDPD（R） 〈≤ and rDID（R） 〈 ≤, then rDPD（R） 〈 n if and only if rDID（R） 〈 n if and only if Dext^n＋i（M,N） = 0 for all modules M and N and all integer i ≥ 1.
文摘Ding's Manor is a Hakka's folk dwelling characterized by both Hakka's cultures on the Central Plain and also cultures of north Sichuan, and a typical Hakka's architecture in Sichuan Province. Design of the manor concentrates rich cultures, arts and beliefs of the Hakka, thus exploration of Ding's Manor, specifically, its site layout showing Fengshui doctrines of the Hakka, architectural style and watchtower with strict structures, and exquisite decorative arts, show architectural technology and wisdom of the Hakka, and also artistic characteristics of the Hakka's folk dwellings in a certain historical environment, which provides a favorable reference for the construction of modern folk dwellings.
