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Gorenstein projective modules over rings of Morita contexts: 《Science China Mathematics》2024年第11期2453-2484,共32页Qianqian Guo Changchang Xi; supported by National Natural Science Foundation of China (Grant Nos.12031014 and 12226314)。; Under semi-weak and weak compatibility conditions of bimodules,we establish necessary and sufficient conditions of Gorenstein-projective modules over rings of Morita contexts with one bimodule homomorphism zero.This e...; 关键词：Gorenstein-projective module noetherian ring noncommutative tensor product totally exact complex weakly compatible bimodule

Frobenius bimodules and flat-dominant dimensions被引量：9: 《Science China Mathematics》2021年第1期33-44,共12页Changchang Xi; supported by the Beijing Natural Science Foundation(Grant No.1192004);National Natural Science Foundation of China(Grant No.11331006)。; We establish relations between Frobenius parts and between flat-dominant dimensions of algebras linked by Frobenius bimodules.This is motivated by the Nakayama conjecture and an approach of MartinezVilla to the Auslan...; 关键词：dominant dimension extension of algebras Frobenius bimodule Frobenius part universal enveloping algebra

Homological Behavior of Relative Cotorsionfree and Cosyzygy Modules: 《Algebra Colloquium》2019年第3期467-478,共12页Guoqiang Zhao Bo Zhang; This research was partially supported by NSFC(11401147,11531002);Natural Science Foundation of Shandong Province of China(ZR2017BA028).; As the dual of the Auslander transpose and the resulting k-torsionfree module,the cotranspose and k-cotorsionfree module with respect to a semidualizing bimodule have been introduced recently.In this paper we first in...; 关键词：semidualizing BIMODULE cotorsionfree MODULE cosyzygy MODULE extensionclosure (strong)cograde

L-octo-algebras: 《Communications in Mathematical Research》2016年第1期57-69,共13页AN HUI-HUI WANG ZHI-CHUN; The NSF(11071106 and 11471151)of China; L-octo-algebra with 8 operations as the Lie algebraic analogue of octo- algebra such that the sum of 8 operations is a Lie algebra is discussed. Any octo- algebra is an L-octo-algebra. The relationships among L-octo-a...; 关键词：L-octo-algebra L-quadri-algebra BIMODULE

Bimodule and twisted representation of vertex operator algebras: 《Science China Mathematics》2016年第2期397-410,共14页JIANG QiFen JIAO XiangYu; supported by National Natural Science Foundation of China(Grant Nos.11101269 and 11431010); In this paper, for a vertex operator algebra V with an automorphism g of order T, an admissible V-module M and a fixed nonnegative rational number n ∈1/T Z_+, we construct an A_(g,n)(V)-bimodule Ag,n(M) and study its...; 关键词：BIMODULE g-twisted module vertex operator algebra intertwining operator fusion rules

Tilting Bimodules from Tilting Pairs: 《Journal of Mathematical Research and Exposition》2011年第1期109-114,共6页Yi Hua LIAO Jian Long CHEN; Supported by the National Natural Science Foundation of China (Grant Nos.10971024;10826036);the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No.200802860024);the Natural Science Foundation of Jiangsu Province (Grant No.BK2010393);the Scientific Research Foundation of Guangxi University (Grant No.XJZ100246); Tilting pair was introduced by Miyashita in 2001 as a generalization of tilting module. In this paper, we construct a tilting left Endh（C）-right Endh（T）-bimodule for a given tilting pairs （C,T） in modh, where A ...; 关键词：selforthogonal module tilting bimodule tilting pair.

Bimodules associated to vertex operator superalgebras被引量：1: 《Science China Mathematics》2008年第9期1705-1725,共21页JIANG Wei JIANG CuiBo; supported by the National Natural Science Foundation of China (Grant Nos. 10571119, 10671027); Let V be a vertex operator superalgebra and m, n ∈ 1/2 ?+. We construct an A n (V)-A m (V)-bimodule A n,m (V) which characterizes the action of V from the level m subspace to level n subspace of an admissible V-modul...; 关键词：vertex operator algebra admissible module vertex operator superalgebra associative algebra BIMODULE 17B69

L-R smash products for multiplier Hopf algebras被引量：2: 《Applied Mathematics(A Journal of Chinese Universities)》2008年第1期83-90,共8页ZHAO Li-hui LU Di-ming FANG Xiao-li; Supported by the Ningbo Natural Science Foundation(2006A610089); The theory of L-R smash product is extended to multiplier Hopf algebras and a sufficient condition for L-R smash product to be regular multiplier Hopf algebras is given. In particular, the result of the paper implies ...; 关键词：multiplier Hopf algebral bimodule bialgebra L-R smash product.

Twisting theory for weak Hopf algebras被引量：1: 《Applied Mathematics(A Journal of Chinese Universities)》2008年第1期91-100,共10页CHEN Ju-zhen ZHANG Yan WANG Shuan-hong; Partially supported by the Specialized Research Fund for the Doctoral Program of Higher Education(20060286006);the National Natural Science Foundation of China(10571026);the Southeast University Fund(XJ0707273).; The main aim of this paper is to study the twisting theory of weak Hopf algebras and give an equivalence between the （braided） monoidal categories of weak Hopf bimodules over the original and the twisted weak Hopf a...; 关键词：weak Hopf algebra weak Hopf bimodule twisting theory.

Local 3-cocycles of von Neumann algebras: 《Science China Mathematics》2007年第9期1240-1250,共11页Cheng-jun HOU~(1+) Ben-yin FU~2 1 School of Mathematical Sciences,Qufu Normal University,Qufu 273165,China 2 School of Mathematical Sciences,Fudan University,Shanghai 200433,China; This work was partially supported by the National Natural Science Foundation of China (Grant Nos.10201007 and A0324614);the Natural Science Foundation of Shandong Province (Grant No.Y2006A03); We show that every local 3-cocycle of a von Neumann algebra $\mathcal{R}$ into an arbitrary unital dual $\mathcal{R}$ -bimodule $\mathcal{S}$ is a 3-cocycle.; 关键词：von Neumann algebra dual bimodule local 3-cocycle 3-cocycle 46L10

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