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Matrix and Grobner Methods in Homological Algebra

Josà Oswaldo Lezama Serrano

ISBN 10: 3845430117 / ISBN 13: 9783845430119
Editorial: LAP Lambert Academic Publishing
Nuevos Condición: New Encuadernación de tapa blanda
Librería: BuySomeBooks (Las Vegas, NV, Estados Unidos de America)

Librería en AbeBooks desde: 21 de mayo de 2012

Cantidad: > 20

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Descripción

Paperback. 192 pages. Dimensions: 8.7in. x 5.9in. x 0.4in.The present book contains a complete and rigorous treatment of Grbner bases for modules over commutative polynomial rings with coefficients in Noetherian rings (with some other natural computational conditions), and shows also non-trivial applications of this theory in homological algebra. Algorithmic proofs of some classical theorems of homological algebra using Grbner bases and matrix constructive methods have been published in many recent papers, but there is not a book that contains both topics. In fact, probably there is not a monograph that simultaneously includes the theory of Grbner and also presents constructive proofs of three key theorems: Hilberts Syzygy Theorem, Serres Theorem, and Quillen-Suslin Theorem. The main purpose of this book is to fill this lack. Some generalizations of these theorems to extended modules and rings from a constructive approach are also included. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. N° de ref. de la librería 9783845430119

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Detalles bibliográficos

Título: Matrix and Grobner Methods in Homological ...

Editorial: LAP Lambert Academic Publishing

Encuadernación: Paperback

Condición del libro:New

Tipo de libro: Paperback

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Sinopsis:

The present book contains a complete and rigorous treatment of Gröbner bases for modules over commutative polynomial rings with coefficients in Noetherian rings (with some other natural computational conditions), and shows also non-trivial applications of this theory in homological algebra. Algorithmic proofs of some classical theorems of homological algebra using Gröbner bases and matrix constructive methods have been published in many recent papers, but there is not a book that contains both topics. In fact, probably there is not a monograph that simultaneously includes the theory of Gröbner and also presents constructive proofs of three key theorems: Hilbert’s Syzygy Theorem, Serre’s Theorem, and Quillen-Suslin Theorem. The main purpose of this book is to fill this lack. Some generalizations of these theorems to extended modules and rings from a constructive approach are also included.

About the Author:

PH.D. in Mathematics from the University of St. Petersburg, Full Professor at the Universidad Nacional de Colombia and awarded the Medal of Merit. Author of international publications in areas such as Rings and Modules, Groups of Matrices, Commutative Algebra, Algebraic Control Theory, Homological Algebra and Gröbner Bases.

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