Overview

Full Product Details

Author:   J.C. Rosales ,  P. A. García-Sánchez
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2009 ed.
Volume:   20
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   0.990kg
ISBN:  

9781441901590

ISBN 10:   1441901590
Pages:   181
Publication Date:   28 September 2009
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Notable elements.- Numerical semigroups with maximal embedding dimension.- Irreducible numerical semigroups.- Proportionally modular numerical semigroups.- The quotient of a numerical semigroup by a positive integer.- Families of numerical semigroups closed under finite intersections and adjoin of the Frobenius number.- Presentations of a numerical semigroup.- The gluing of numerical semigroups.- Numerical semigroups with embedding dimension three.- The structure of a numerical semigroup.

Reviews

From the reviews: This book is a monograph, a summary of papers written on a ! specialized subject. ! In the body of the book, each topic ! is accompanied by explanations as to which reference they appear in. ! the writing is extremely clear, and the ideas well motivated. ! The exercises at the end of the chapters are well taken ! . without boring the reader or becoming too lengthy, the book does a very impressive job of being self-contained, and friendly to readers and students. (Marion Cohen, The Mathematical Association of America, June, 2010)

From the reviews: This book is a monograph, a summary of papers written on a ! specialized subject. ! In the body of the book, each topic ! is accompanied by explanations as to which reference they appear in. ! the writing is extremely clear, and the ideas well motivated. ! The exercises at the end of the chapters are well taken ! . without boring the reader or becoming too lengthy, the book does a very impressive job of being self-contained, and friendly to readers and students. (Marion Cohen, The Mathematical Association of America, June, 2010) It is not often you can read a book in mathematics without a lot of background knowledge, and still reach the front of research of the subject. This is in fact possible with this book. ! The exercises after all chapters help the reader to understand the concepts, and some of them also extend the subject by introducing new concepts. ! all basic concepts are introduced in a purely elementary way, and to understand this book, one needs no background in algebraic geometry. (Ralf Froberg, Semigroup Forum, Vol. 81, 2010)

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