Challenging traditional Western painting rules, modem paintings depict one object from multi-angles and advocate the autonomy of art. Seldom do people know that Faulkner loved painting when he was young and modem pain...Challenging traditional Western painting rules, modem paintings depict one object from multi-angles and advocate the autonomy of art. Seldom do people know that Faulkner loved painting when he was young and modem paintings exert a subtle influence on him. In his Yoknapatawpha, William Faulkner breaks the time and space order and the consistency of plot in traditional novels, which demonstrates aesthetic effect of modem painting and embodies the allegation of modern painting that art is autonomous. This paper will analyze the deep influence of modern painting on Faulkner＇s writing techniques and language characteristics, providing a new perspective to aonreciate the art of Faulkner＇s Yoknapatawpha.展开更多
As ＂the greatest poet in the 20th century＂, Yeats is always a hot topic among academic community. The question whether Yeats is the ＂last romantic＂ or the first Modernist remains controversial for a long time in a...As ＂the greatest poet in the 20th century＂, Yeats is always a hot topic among academic community. The question whether Yeats is the ＂last romantic＂ or the first Modernist remains controversial for a long time in academic field. Whether critics term Yeats a modernist or not, they generally agree that the poems produced in his late creative period are definitively modernist works. This paper targets Yeats＇s realization of poetic modernization through his mask theory applied in ＂Crazy Jane＂ poems. It discusses the poetic movement in the beginning of the 20th century, the poetic theory Yeats proposed and instances Yeats＇s mask theory as the manifestation of his poetic modernization. The author argues that with his innovation in verse writing particularly demonstrated by application of mask theory in ＂Crazy Jane＂ poems, Yeats unquestionably played a very important role in Anglo-American modernist poetry.展开更多
The post-modernist concerning with identity and subjectivity posits that identity is multi-faceted and constantly gets re-constructed by choice. This results in increasingly fragmented and unstable identities leading ...The post-modernist concerning with identity and subjectivity posits that identity is multi-faceted and constantly gets re-constructed by choice. This results in increasingly fragmented and unstable identities leading to an inevitable breakdown in social relationships and sanity. A limited and dependable set of coherent identities began to fragment into a diverse and unstable series of competing identities. Post-modernism stifled the idea of nation, religion, family, and identity as bedrocks of stability and security. Disillusioned post-modernist world has deconstructed the well-defined boundaries that governed the life, otherwise, transition and transgression through and across these domains became the norm that allowed negotiation in daily lives. Where the subject became a terminal of multiple networks, consciously enacting the repetitions through which identity was getting produced and changed, demonstrating identity＇s ＂performativity＂. Establishing that what we believe to be true is only a construction or an interpretation of reality, shaped by our own socially constructed bias, thereby putting to scrutiny the idea of reality and real itself, which removed any sense of objective reality and with it the notion of an objective self. Identity is constantly changing and transitioning, the idea of the self which is entangled with multiplicity, heterogeneity, difference and ceaselessly becoming caught between the present and future, real and unreal, death and life. This research paper will carry out an analysis on evidential aspects in the selected novel and will further interpret the episodes of transition and transgressions that inform this novel.展开更多
The relationship between time and consciousness is what T. S. Eliot concerns much in his early modernist poem The love song of J. Alfred Prufrock. This paper is an analysis of the way Eliot employs the stream of consc...The relationship between time and consciousness is what T. S. Eliot concerns much in his early modernist poem The love song of J. Alfred Prufrock. This paper is an analysis of the way Eliot employs the stream of consciousness technique to create a typical Western modern man who suffers greatly from meaningless life and spiritual crisis.展开更多
The most persistent criticism about the play Death of a Salesman （1949） concerns the issue of genre and its constituents： Is it a tragedy？! If yes, to what extend is it a tragedy？ Miller himself considered the pl...The most persistent criticism about the play Death of a Salesman （1949） concerns the issue of genre and its constituents： Is it a tragedy？! If yes, to what extend is it a tragedy？ Miller himself considered the play to be the tragedy of the common man, as he presents his idea on tragedy as a genre and his idea of the tragic hero in his essay ＂Tragedy and the Common Man＂ （1942）, but for a group of critics it is not a tragedy but to others and to the author, it is the tragedy of the man who tries to survive in the modern world by using archaic weapons. This paper briefly revisits the Aristotelian tragedy concept and modern theories, and stands on what are tragedy and a tragic hero. It aims at reading Death of a Salesman as a meeting point between （ancient） concept of tragedy with modern man and his way of seeing life, and briefly examines and explores the continuing disagreements among academics and by what criteria this play is a tragedy.展开更多
Let X be a closed, simply-connected, smooth, spin 4-manifold whose intersection form is isomorphic to 2 k(-E_8)⊕lH, where H is the hyperbolic form. In this paper, the authors prove that if there exists a locally line...Let X be a closed, simply-connected, smooth, spin 4-manifold whose intersection form is isomorphic to 2 k(-E_8)⊕lH, where H is the hyperbolic form. In this paper, the authors prove that if there exists a locally linear pseudofree Z_3-action on X,then Sign(g, X) ≡-k mod 3. They also investigate the smoothability of locally linear Z_3-action satisfying above congruence. In particular, it is proved that there exist some nonsmoothable locally linear Z_3-actions on certain elliptic surfaces.展开更多
Let k, m and n be three positive integers such that 2^m= 1 （mod n） and k ≥ 2. The Bouwer graph, which is denoted by B（k,m,n）, is the graph with vertex set {（a,b） ｜ a ∈Zm, b ∈Zn×…×Zn} k-1 times and...Let k, m and n be three positive integers such that 2^m= 1 （mod n） and k ≥ 2. The Bouwer graph, which is denoted by B（k,m,n）, is the graph with vertex set {（a,b） ｜ a ∈Zm, b ∈Zn×…×Zn} k-1 times and two vertices being adjacent if they can be written as （a,b） and （a＋ 1,c）, where either c ： b or c = （cl,c2 …,ck-1） differs from b = （b1, b2,…, bk-1） in exactly one position, say the jth position, where cj = bj ＋ 2^a. Every B（k, m, n） is a vertex- and edge-transitive graph, and Bouwer proved that B（k, 6, 9） is half-arc-transitive for every k ≥ 2. In 2016, Conder and Zitnik gave the classification of half-arc-transitive Bouwer graphs. In this paper, the full automorphism group of every B（k, m, n） is determined.展开更多
Let A be an algebra of finite Cohen-Macaulay type and F its Cohen-Macaulay Auslander algebra. We are going to characterize the morphism category Mor（∧-Gproj） of Gorenstein-projective ∧-modules in terms of the modu...Let A be an algebra of finite Cohen-Macaulay type and F its Cohen-Macaulay Auslander algebra. We are going to characterize the morphism category Mor（∧-Gproj） of Gorenstein-projective ∧-modules in terms of the module category F-mod by a categorical equivalence. Based on this, we obtain that some factor category of the epimorphism category Epi（∧-Gproj） is a Frobenius category, and also, we clarify the relations among Mor（∧-Gproj）, Mor（T2（∧）-Gproj） and Mor（△-Gproj）, where T2（∧） and △ are respectively the lower triangular matrix algebra and the Morita ring closely related to ∧.展开更多
In this paper, it is shown that for a 3-dimensional small cover M over a polytope P, there are only 2-torsions in H_1(M; Z). Moreover, the mod 2 Betti number growth of finite covers of M is studied.
A graph is said to be vertex-transitive non-Cayley if its full automorphism group acts transitively on its vertices and contains no subgroups acting regularly on its vertices. In this paper, a complete classification ...A graph is said to be vertex-transitive non-Cayley if its full automorphism group acts transitively on its vertices and contains no subgroups acting regularly on its vertices. In this paper, a complete classification of cubic vertex-transitive non-Cayley graphs of order 12 p, where p is a prime, is given. As a result, there are 11 sporadic and one infinite family of such graphs, of which the sporadic ones occur when p equals 5, 7 or 17, and the infinite family exists if and only if p ≡ 1(mod 4), and in this family there is a unique graph for a given order.展开更多
文摘Challenging traditional Western painting rules, modem paintings depict one object from multi-angles and advocate the autonomy of art. Seldom do people know that Faulkner loved painting when he was young and modem paintings exert a subtle influence on him. In his Yoknapatawpha, William Faulkner breaks the time and space order and the consistency of plot in traditional novels, which demonstrates aesthetic effect of modem painting and embodies the allegation of modern painting that art is autonomous. This paper will analyze the deep influence of modern painting on Faulkner＇s writing techniques and language characteristics, providing a new perspective to aonreciate the art of Faulkner＇s Yoknapatawpha.
文摘As ＂the greatest poet in the 20th century＂, Yeats is always a hot topic among academic community. The question whether Yeats is the ＂last romantic＂ or the first Modernist remains controversial for a long time in academic field. Whether critics term Yeats a modernist or not, they generally agree that the poems produced in his late creative period are definitively modernist works. This paper targets Yeats＇s realization of poetic modernization through his mask theory applied in ＂Crazy Jane＂ poems. It discusses the poetic movement in the beginning of the 20th century, the poetic theory Yeats proposed and instances Yeats＇s mask theory as the manifestation of his poetic modernization. The author argues that with his innovation in verse writing particularly demonstrated by application of mask theory in ＂Crazy Jane＂ poems, Yeats unquestionably played a very important role in Anglo-American modernist poetry.
文摘The post-modernist concerning with identity and subjectivity posits that identity is multi-faceted and constantly gets re-constructed by choice. This results in increasingly fragmented and unstable identities leading to an inevitable breakdown in social relationships and sanity. A limited and dependable set of coherent identities began to fragment into a diverse and unstable series of competing identities. Post-modernism stifled the idea of nation, religion, family, and identity as bedrocks of stability and security. Disillusioned post-modernist world has deconstructed the well-defined boundaries that governed the life, otherwise, transition and transgression through and across these domains became the norm that allowed negotiation in daily lives. Where the subject became a terminal of multiple networks, consciously enacting the repetitions through which identity was getting produced and changed, demonstrating identity＇s ＂performativity＂. Establishing that what we believe to be true is only a construction or an interpretation of reality, shaped by our own socially constructed bias, thereby putting to scrutiny the idea of reality and real itself, which removed any sense of objective reality and with it the notion of an objective self. Identity is constantly changing and transitioning, the idea of the self which is entangled with multiplicity, heterogeneity, difference and ceaselessly becoming caught between the present and future, real and unreal, death and life. This research paper will carry out an analysis on evidential aspects in the selected novel and will further interpret the episodes of transition and transgressions that inform this novel.
文摘The relationship between time and consciousness is what T. S. Eliot concerns much in his early modernist poem The love song of J. Alfred Prufrock. This paper is an analysis of the way Eliot employs the stream of consciousness technique to create a typical Western modern man who suffers greatly from meaningless life and spiritual crisis.
文摘The most persistent criticism about the play Death of a Salesman （1949） concerns the issue of genre and its constituents： Is it a tragedy？! If yes, to what extend is it a tragedy？ Miller himself considered the play to be the tragedy of the common man, as he presents his idea on tragedy as a genre and his idea of the tragic hero in his essay ＂Tragedy and the Common Man＂ （1942）, but for a group of critics it is not a tragedy but to others and to the author, it is the tragedy of the man who tries to survive in the modern world by using archaic weapons. This paper briefly revisits the Aristotelian tragedy concept and modern theories, and stands on what are tragedy and a tragic hero. It aims at reading Death of a Salesman as a meeting point between （ancient） concept of tragedy with modern man and his way of seeing life, and briefly examines and explores the continuing disagreements among academics and by what criteria this play is a tragedy.
基金supported by the National Natural Science Foundation of China(Nos.11371076,11431009)the Natural Science Foundation of Hebei Province of China(No.A2014501040)
文摘Let X be a closed, simply-connected, smooth, spin 4-manifold whose intersection form is isomorphic to 2 k(-E_8)⊕lH, where H is the hyperbolic form. In this paper, the authors prove that if there exists a locally linear pseudofree Z_3-action on X,then Sign(g, X) ≡-k mod 3. They also investigate the smoothability of locally linear Z_3-action satisfying above congruence. In particular, it is proved that there exist some nonsmoothable locally linear Z_3-actions on certain elliptic surfaces.
基金This work was partially supported by the National Natural Science Foundation of China （11671030） and the Fundamental Research Funds for the Central Universities （2015JBM110）.
文摘Let k, m and n be three positive integers such that 2^m= 1 （mod n） and k ≥ 2. The Bouwer graph, which is denoted by B（k,m,n）, is the graph with vertex set {（a,b） ｜ a ∈Zm, b ∈Zn×…×Zn} k-1 times and two vertices being adjacent if they can be written as （a,b） and （a＋ 1,c）, where either c ： b or c = （cl,c2 …,ck-1） differs from b = （b1, b2,…, bk-1） in exactly one position, say the jth position, where cj = bj ＋ 2^a. Every B（k, m, n） is a vertex- and edge-transitive graph, and Bouwer proved that B（k, 6, 9） is half-arc-transitive for every k ≥ 2. In 2016, Conder and Zitnik gave the classification of half-arc-transitive Bouwer graphs. In this paper, the full automorphism group of every B（k, m, n） is determined.
基金Supported by the National Natural Science Foundation of China （Grant No. 11771272）
文摘Let A be an algebra of finite Cohen-Macaulay type and F its Cohen-Macaulay Auslander algebra. We are going to characterize the morphism category Mor（∧-Gproj） of Gorenstein-projective ∧-modules in terms of the module category F-mod by a categorical equivalence. Based on this, we obtain that some factor category of the epimorphism category Epi（∧-Gproj） is a Frobenius category, and also, we clarify the relations among Mor（∧-Gproj）, Mor（T2（∧）-Gproj） and Mor（△-Gproj）, where T2（∧） and △ are respectively the lower triangular matrix algebra and the Morita ring closely related to ∧.
基金supported by the National Natural Science Foundation of China(Nos.11371094,11771088)
文摘In this paper, it is shown that for a 3-dimensional small cover M over a polytope P, there are only 2-torsions in H_1(M; Z). Moreover, the mod 2 Betti number growth of finite covers of M is studied.
基金supported by National Natural Science Foundation of China(Grant Nos.11671030,11171020 and 11231008)the Fundamental Research Funds for the Central Universities(Grant No.2015JBM110)
文摘A graph is said to be vertex-transitive non-Cayley if its full automorphism group acts transitively on its vertices and contains no subgroups acting regularly on its vertices. In this paper, a complete classification of cubic vertex-transitive non-Cayley graphs of order 12 p, where p is a prime, is given. As a result, there are 11 sporadic and one infinite family of such graphs, of which the sporadic ones occur when p equals 5, 7 or 17, and the infinite family exists if and only if p ≡ 1(mod 4), and in this family there is a unique graph for a given order.
