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Rings Close to Regular (Paperback, Softcover reprint of hardcover 1st ed. 2002) Loot Price: R1,543
Discovery Miles 15 430
Rings Close to Regular (Paperback, Softcover reprint of hardcover 1st ed. 2002): A. a. Tuganbaev

Rings Close to Regular (Paperback, Softcover reprint of hardcover 1st ed. 2002)

A. a. Tuganbaev

Series: Mathematics and Its Applications, 545

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Loot Price R1,543 Discovery Miles 15 430 | Repayment Terms: R145 pm x 12*

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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.

General

Imprint: Springer
Country of origin: Netherlands
Series: Mathematics and Its Applications, 545
Release date: December 2010
First published: 2002
Authors: A. a. Tuganbaev
Dimensions: 235 x 155 x 19mm (L x W x T)
Format: Paperback
Pages: 350
Edition: Softcover reprint of hardcover 1st ed. 2002
ISBN-13: 978-90-481-6116-4
Categories: Books > Science & Mathematics > Mathematics > Algebra > General
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LSN: 90-481-6116-9
Barcode: 9789048161164

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