Articles liés à Algebras Associated to Simplicial complexes: Characterizatio...

Algebras Associated to Simplicial complexes: Characterization of f-ideals - Couverture souple

Anwar, Imran; Qanber Abbasi, Ghulam; Ahmad Baig, Waqas

 
9783838358956: Algebras Associated to Simplicial complexes: Characterization of f-ideals
Couverture souple
ISBN 10 : 3838358953 ISBN 13 : 9783838358956
Editeur : LAP Lambert Academic Publishing, 2010

Synopsis

The aim of this book is to explore the algebraic and combinatorial properties of simplicial complexes. Let S = k[x1, x2, ..., xn] be a polynomial ring over an infinite field k. Note that, there is a natural bijection between the square-free monomial ideals (so called non facet ideals) and simplicial complexes introduced by R.P. Stanley. Later Faridi introduced another correspondence betweeen the square-free monomial ideals (so called facet ideals) and simplicial complexes. So, corresponding to a square-free monomial ideal I in S, one can consider I as the facet ideal of one simplicial complex and as the non-face ideal for another . In this book, we mainly discuss the invariants between these two simplicail complexes. Also we have discuss about a new class of ideals called f-ideals and its properties.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The aim of this book is to explore the algebraic and combinatorial properties of simplicial complexes. Let S = k[x1, x2, ..., xn] be a polynomial ring over an infinite field k. Note that, there is a natural bijection between the square-free monomial ideals (so called non facet ideals) and simplicial complexes introduced by R.P. Stanley. Later Faridi introduced another correspondence betweeen the square-free monomial ideals (so called facet ideals) and simplicial complexes. So, corresponding to a square-free monomial ideal I in S, one can consider I as the facet ideal of one simplicial complex and as the non-face ideal for another . In this book, we mainly discuss the invariants between these two simplicail complexes. Also we have discuss about a new class of ideals called f-ideals and its properties.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP Lambert Academic Publishing
Date d'édition
2010
Langue
anglais
ISBN 10 
3838358953
ISBN 13 
9783838358956
Reliure
Broché
Nombre de pages
72
Coordonnées du fabricant
non disponible
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