Matrix approach to noncommutative stably free modules and Hermite rings

Oswaldo Lezama; Claudia Gallego

Matrix approach to noncommutative stably free modules and Hermite rings

Oswaldo Lezama, Claudia Gallego

Universidad Nacional de Colombia

Producción: Contribución a una revista › Artículo › revisión exhaustiva

6 Citas (Scopus)

Resumen

In this paper we present a matrix-constructive proof of an Stafford’s Theorem about stably free modules over noncommutative rings. Matrix characterizations of noncommutative Hermite and projective-free rings are exhibit. Quotients, products and localizations of Hermite and some other classes of rings close related to Hermite rings are also considered.

Idioma original	Inglés
Páginas (desde-hasta)	109-137
Número de páginas	29
Publicación	Algebra and Discrete Mathematics
Volumen	18
N.º	1
Estado	Publicada - 2014
Publicado de forma externa	Sí

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title = "Matrix approach to noncommutative stably free modules and Hermite rings",

abstract = "In this paper we present a matrix-constructive proof of an Stafford{\textquoteright}s Theorem about stably free modules over noncommutative rings. Matrix characterizations of noncommutative Hermite and projective-free rings are exhibit. Quotients, products and localizations of Hermite and some other classes of rings close related to Hermite rings are also considered.",

keywords = "Hermite rings, Matrix methods in homological algebra, Noncommutative rings and modules, Stably free modules",

author = "Oswaldo Lezama and Claudia Gallego",

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year = "2014",

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AU - Lezama, Oswaldo

AU - Gallego, Claudia

N1 - Publisher Copyright: © Journal Algebra and Discrete Mathematics.

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Y1 - 2014

N2 - In this paper we present a matrix-constructive proof of an Stafford’s Theorem about stably free modules over noncommutative rings. Matrix characterizations of noncommutative Hermite and projective-free rings are exhibit. Quotients, products and localizations of Hermite and some other classes of rings close related to Hermite rings are also considered.

AB - In this paper we present a matrix-constructive proof of an Stafford’s Theorem about stably free modules over noncommutative rings. Matrix characterizations of noncommutative Hermite and projective-free rings are exhibit. Quotients, products and localizations of Hermite and some other classes of rings close related to Hermite rings are also considered.

KW - Hermite rings

KW - Matrix methods in homological algebra

KW - Noncommutative rings and modules

KW - Stably free modules

UR - http://www.scopus.com/inward/record.url?scp=84919709308&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84919709308

SN - 1726-3255

VL - 18

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JO - Algebra and Discrete Mathematics

JF - Algebra and Discrete Mathematics

IS - 1

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Matrix approach to noncommutative stably free modules and Hermite rings

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