<電子ブック>
Rings Close to Regular / by A.A. Tuganbaev
(Mathematics and Its Applications ; 545)
版 | 1st ed. 2002. |
---|---|
出版者 | Dordrecht : Springer Netherlands : Imprint: Springer |
出版年 | 2002 |
本文言語 | 英語 |
大きさ | XII, 350 p : online resource |
著者標目 | *Tuganbaev, A.A author SpringerLink (Online service) |
件 名 | LCSH:Associative rings LCSH:Associative algebras FREE:Associative Rings and Algebras |
一般注記 | 1 Some Basic Facts of Ring Theory -- 2 Regular and Strongly Regular Rings -- 3 Rings of Bounded Index and I0-rings -- 4 Semiregular and Weakly Regular Rings -- 5 Max Rings and ?-regular Rings -- 6 Exchange Rings and Modules -- 7 Separative Exchange Rings Preface All rings are assumed to be associative and (except for nilrings and some stipulated cases) to have nonzero identity elements. A ring A is said to be regular if for every element a E A, there exists an element b E A with a = aba. Regular rings are well studied. For example, [163] and [350] are devoted to regular rings. A ring A is said to be tr-regular if for every element a E A, there is an element n b E A such that an = anba for some positive integer n. A ring A is said to be strongly tr-regular if for every a E A, there is a positive integer n with n 1 n an E a + An Aa +1. It is proved in [128] that A is a strongly tr-regular ring if and only if for every element a E A, there is a positive integer m with m 1 am E a + A. Every strongly tr-regular ring is tr-regular [38]. If F is a division ring and M is a right vector F-space with infinite basis {ei}~l' then End(MF) is a regular (and tr-regular) ring that is not strongly tr-regular. The factor ring of the ring of integers with respect to the ideal generated by the integer 4 is a strongly tr-regular ring that is not regular HTTP:URL=https://doi.org/10.1007/978-94-015-9878-1 |
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 | 9789401598781 |
|
電子リソース |
|
EB00226597 |
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:7回
※2017年9月4日以降