<電子ブック>
Formal Matrices / by Piotr Krylov, Askar Tuganbaev
(Algebra and Applications. ISSN:21922950 ; 23)
版 | 1st ed. 2017. |
---|---|
出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2017 |
大きさ | VIII, 156 p : online resource |
著者標目 | *Krylov, Piotr author Tuganbaev, Askar author SpringerLink (Online service) |
件 名 | LCSH:Associative rings LCSH:Associative algebras LCSH:Algebra, Homological LCSH:K-theory LCSH:Algebras, Linear FREE:Associative Rings and Algebras FREE:Category Theory, Homological Algebra FREE:K-Theory FREE:Linear Algebra |
一般注記 | Introduction -- Construction of Formal Matrix Rings of Order 2 -- Modules over Formal Matrix Rings -- Formal Matrix Rings over a Given Ring -- Grothendieck and Whitehead Groups of Formal Matrix Rings This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the interplay between Morita contexts and K theory. While various special types of formal matrix rings have been studied for a long time from several points of view and appear in various textbooks, for instance to examine equivalences of module categories and to illustrate rings with one-sided non-symmetric properties, this particular class of rings has, so far, not been treated systematically. Exploring formal matrix rings of order 2 and introducing the notion of the determinant of a formal matrix over a commutative ring, this monograph further covers the Grothendieck and Whitehead groups of rings. Graduate students and researchers interested in ring theory, module theory and operator algebras will find this book particularly valuable. Containing numerous examples, Formal Matrices is a largely self-contained and accessible introduction to the topic, assuming a solid understanding of basic algebra HTTP:URL=https://doi.org/10.1007/978-3-319-53907-2 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9783319539072 |
|
電子リソース |
|
EB00201484 |
類似資料
この資料の利用統計
このページへのアクセス回数:5回
※2017年9月4日以降