新書推薦：
《
海权与陆权的变局
》
售價：NT$
500
《
《西南联大名师课（全10册）》中国历史·中国文学·中国哲学·诸子百家·诗词曲赋·文化常识·人文精神·
》
售價：NT$
3050
《
天命无常：五代十国 优酷人文·“梅毅说中国史”系列（全三册）
》
售價：NT$
704
《
武王墩：亲历2020—2024楚王墓发掘
》
售價：NT$
449
《
异化
》
售價：NT$
439
《
你的脆弱很正常
》
售價：NT$
275
《
鸟墙——康奈尔鸟类学实验室巨幅壁画诞生记
》
售價：NT$
908
《
政治人--政治的社会基础（东方编译所译丛）
》
售價：NT$
602
|
| 內容簡介： |
|
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]。
|
| 目錄：
|
1 Definitions and Examples of Morita Context Rings
1.1 Definitions of Morita context rings
1.2 Classical matrix algebras
1.2.1 Full matrix algebras
1.2.2 Triangular matrix algebras
1.2.3 Block upper triangular matrix algebras
1.2.4 Inflated algebras
1.3 Quasi-hereditary algebras
1.3.1 Basic construction
1.3.2 Dual extension algebras
1.4 Two non-degenerate examples
1.4.1 Morita context rings from smash product
1.4.2 Morita context rings from group algebras
1.5 Examples of operator algebras
1.5.1 Triangular Banach algebras
1.5.2 Nest algebras
1.5.3 von Neumann algebras
1.5.4 Incidence algebras
2 Linear Mappings on Morita Context Rings
2.1 Commuting mappings on Morita context rings
2.1.1 Posner Theorem
2.1.2 Commuting mappings and centralizing mappings
2.1.3 Skew commuting and skew centralizing mappings
2.2 Lie derivations on Morita context rings
2.3 Jordan derivations on Morita context rings
2.4 Jordan generalized derivations on triangular algebras
2.5 Lie triple derivations on triangular algebras
2.5.1 Proof of the main Theorem
2.5.2 Another look to Theorem 2.5.1
2.6 Local actions of linear mappings on Morita context rings
3 Non-linear Mappings and Higher Mappings
3.1 Characterization of Jordan higher derivations
3.2 Jordan higher derivations off some operator algebras
3.3 Jordan higher derivations on triangular algebras
3.4 When a higher derivation is inner
3.5 Non-linear Lie higher derivations
3.6 Non linear Jordan bijective mappings
3.7 Jordan higher derivable points
Bibliography
|
|
購物車/收銀台(0) | 在線留言板
| 付款方式
| 聯絡我們
| 運費計算
| 幫助中心 |
加入書簽
HOME
新書上架
