Algebras Associated to Simplicial complexes: Characterization of f-ideals - Softcover

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

Softcover

ISBN 10: 3838358953 ISBN 13: 9783838358956

Verlag: LAP Lambert Academic Publishing, 2010

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

First author is working as an Asst. Professor of Mathematics and the Second author is Head of the department and Professor of Mathematics in COMSATS Institute of Information Technology, Lahore, Pakistan. Third author is an MS from COMSATS Institute of Information Technology, Lahore, Pakistan.

Details zur Ausgabe

• Verlag: LAP Lambert Academic Publishing
• Erscheinungsdatum: 2010
• Sprache: Englisch
• ISBN 10: 3838358953
• ISBN 13: 9783838358956
• Einband: Taschenbuch
• Anzahl der Seiten: 72
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Editions universitaires europeennes; customerservice@vdm-vsg.de; ; Brivibas gatve 197; Riga; 1039; Lettland