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Rings Close to Regular - nieuw boek

ISBN: 9789048161164

This is the first monograph on rings closed to von Neumann regular rings. The following classes of rings are considered: exchange rings, pi-regular rings, weakly regular rings, rings … Meer...

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Askar A. Tuganbaev:

Rings Close to Regular - nieuw boek

2010, ISBN: 9789048161164

Rings Close to Regular: Paperback: Springer: 9789048161164: 08 Dec 2010: Preface All rings are assumed to be associative and (except for nilrings and some stipulated cases) to have nonzer… Meer...

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Askar Tuganbaev:
Rings Close to Regular - nieuw boek

ISBN: 9789048161164

This is the first monograph on rings closed to von Neumann regular rings. The following classes of rings are considered: exchange rings, pi-regular rings, weakly regular rings, rings with… Meer...

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Tuganbaev, A. a.:
Rings Close to Regular - gebruikt boek

ISBN: 9789048161164

This is the first monograph on rings closed to von Neumann regular rings. The following classes of rings are considered: exchange rings, pi-regular rings, weakly regular rings, rings with… Meer...

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A.A. Tuganbaev:
Rings Close to Regular - pocketboek

ISBN: 9789048161164

Mathematics; Associative Rings and Algebras DEX, Exchange, Finite, K-theory, Maxima, algebra, eXist, maximum, proof, ring, ring theory Books Book (Paperback Initiative), Springer Science+… Meer...

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Bijzonderheden over het boek
Rings Close to Regular

This is the first monograph on rings closed to von Neumann regular rings. The following classes of rings are considered: exchange rings, pi-regular rings, weakly regular rings, rings with comparability, V-rings, and max rings. Every Artinian or von Neumann regular ring A is an exchange ring (this means that for every one of its elements a, there exists an idempotent e of A such that aA contains eA and (1-a)A contains (1-e)A). Exchange rings are very useful in the study of direct decompositions of modules, and have many applications to theory of Banach algebras, ring theory, and K-theory. In particular, exchange rings and rings with comparability provide a key to a number of outstanding cancellation problems for finitely generated projective modules. Every von Neumann regular ring is a weakly regular pi-regular ring (a ring A is pi-regular if for every one of its elements a, there is a positive integer n such that a is contained in aAa) and every Artinian ring is a pi-regular max ring (a ring is a max ring if every one of its nonzero modules has a maximal submodule). Thus many results on finite-dimensional algebras and regular rings are extended to essentially larger classes of rings. Starting from a basic understanding of ring theory, the theory of rings close to regular is presented and accompanied with complete proofs.The book will appeal to readers from beginners to researchers and specialists in algebra; it concludes with an extensive bibliography.

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EAN (ISBN-13): 9789048161164
ISBN (ISBN-10): 9048161169
pocket book
Verschijningsjaar: 2010
Uitgever: Springer-Verlag GmbH
364 Bladzijden
Gewicht: 0,550 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2011-10-01T11:30:01+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2018-03-17T02:16:36+01:00 (Amsterdam)
ISBN/EAN: 9789048161164

ISBN - alternatieve schrijfwijzen:
90-481-6116-9, 978-90-481-6116-4


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