BIMODULE

作品数：15被引量：15H指数：2
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相关期刊：《Science China Mathematics》《Algebra Colloquium》《Chinese Annals of Mathematics,Series B》《Applied Mathematics(A Journal of Chinese Universities)》更多>>
相关基金：国家自然科学基金国家教育部博士点基金北京市自然科学基金更多>>
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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 
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 
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 
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 
△-tame quasi-hereditary algebras
《Science China Mathematics》2007年第2期240-252,共13页Yun-ge XU & Ying-bo ZHANG Faculty of Mathematics and Computer Science, Hubei University, Wuhan 430062, China School of Mathematics Sciences, Beijing Normal University, Beijing 100875, China 
This work was partially supported by the National Natural Science Foundation of China (Grant Nos. 10426014,10501010 and 19331030);the Foundation of Hubei Provincial Department of Education (Grant No.D200510005).
Let (K, M,H) be an upper triangular bimodule problem. Briistle and Hille showed that the opposite algebra A of the endomorphism algebra of a projective generator P of the matrices category of (K., M, H) is quasi-hered...
关键词：BIMODULE PROBLEM quasi-hereditary ALGEBRA △-tameness homogeneity. 
Submodules of the groupoid C~*-algebra
《Science China Mathematics》1998年第4期379-385,共7页严绍宗 陈晓漫 徐胜芝 
ProjectsupportedpartiallybytheNationalNaturalScienceFoundationofChina ;FokYingtungEducationalFoundation ;theFoundationofStateEducationCommissionofChinaandtheLab .ofMath .forNonlinearScienceatFudanUniversity .
Given an r-discrete, principal and amenable groupoid, the bijective correspondence between the family c the closedC o(G 0)-bimodules ofC(G) and the family of the open subsets of the groupoidG is established. More over...
关键词：GROUPOID C * ALGEBRA G SET BIMODULE RIGIDITY 
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