Sinossi
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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Informazioni sull?autore
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.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Matrix and Gröbner Methods in Homological Algebra
Editore:
LAP LAMBERT Academic Publishing Aug 2011, 2011
ISBN 10: 3845430117
ISBN 13: 9783845430119
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 192 pp. Englisch. Codice articolo 9783845430119
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Matrix and Groebner Methods in Homological Algebra
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LAP LAMBERT Academic Publishing, 2011
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ISBN 13: 9783845430119
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Matrix and Gröbner Methods in Homological Algebra | over Commutative Polynomial Rings
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LAP LAMBERT Academic Publishing, 2011
ISBN 10: 3845430117
ISBN 13: 9783845430119
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Taschenbuch. Condizione: Neu. Matrix and Gröbner Methods in Homological Algebra | over Commutative Polynomial Rings | José Oswaldo Lezama Serrano | Taschenbuch | 192 S. | Englisch | 2011 | LAP LAMBERT Academic Publishing | EAN 9783845430119 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. Codice articolo 106864451
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Matrix and Gröbner Methods in Homological Algebra
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LAP LAMBERT Academic Publishing Aug 2011, 2011
ISBN 10: 3845430117
ISBN 13: 9783845430119
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 192 pp. Englisch. Codice articolo 9783845430119
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Matrix and Gröbner Methods in Homological Algebra : over Commutative Polynomial Rings
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LAP LAMBERT Academic Publishing, 2011
ISBN 10: 3845430117
ISBN 13: 9783845430119
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Da: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Codice articolo 9783845430119
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Matrix and Gröbner Methods in Homological Algebra: over Commutative Polynomial Rings
Editore:
LAP LAMBERT Academic Publishing, 2011
ISBN 10: 3845430117
ISBN 13: 9783845430119
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