MORITA系统环上的可加映射

本书特色

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本书主要内容为：morita context rings were first introduced by morita in [83]， in order to characterize when two rings have equivalent module categories. a fundamental result is that the categories of modules over two rings with identity r and 8 are equivalent if and only if there exists a strict morita context connecting r and s， where “strict” implies that both morita maps being surjective. morita contexts have been used to the study of group actions on rings and galois theory for commutative rings. we refer the reader to [77] for details. moreover， some aspects of morita context rings have been studied. for examples， in [92]， sands investigated various radicals of rings occurring in morita contexts. r. buchweitz investigated how to compare hochschild cohomology of algebras related by a morita context in [20]。

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目录

1 definitions and examples of morita context rings1.1 definitions of morita context rings1.2 classical matrix algebras1.2.1 full matrix algebras1.2.2 triangular matrix algebras1.2.3 block upper triangular matrix algebras1.2.4 inflated algebras1.3 quasi-hereditary algebras1.3.1 basic construction1.3.2 dual extension algebras1.4 two non-degenerate examples1.4.1 morita context rings from smash product1.4.2 morita context rings from group algebras1.5 examples of operator algebras1.5.1 triangular banach algebras1.5.2 nest algebras1.5.3 von neumann algebras1.5.4 incidence algebras2 linear mappings on morita context rings2.1 commuting mappings on morita context rings2.1.1 posner theorem2.1.2 commuting mappings and centralizing mappings2.1.3 skew commuting and skew centralizing mappings2.2 lie derivations on morita context rings2.3 jordan derivations on morita context rings2.4 jordan generalized derivations on triangular algebras2.5 lie triple derivations on triangular algebras2.5.1 proof of the main theorem2.5.2 another look to theorem 2.5.12.6 local actions of linear mappings on morita context rings3 non-linear mappings and higher mappings3.1 characterization of jordan higher derivations3.2 jordan higher derivations off some operator algebras3.3 jordan higher derivations on triangular algebras3.4 when a higher derivation is inner3.5 non-linear lie higher derivations3.6 non linear jordan bijective mappings3.7 jordan higher derivable pointsbibliography

封面

书名:MORITA系统环上的可加映射

作者:李彦博，肖占魁著

页数:188

定价:¥36.0

出版社:东北大学出版社

出版日期:2014-09-01

ISBN:9787551707091

PDF电子书大小:110MB 高清扫描完整版