Homological Functors of Local Cohomology Modules - Vahidi, Alireza
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Let 'a' be an ideal of a commutative Noetherian ring R and let 'X' be an arbitrary R-module. In this book, we discuss the properties of extension module Ext^s_R(N, H^t_a(X)) and torsion module Tor_R^s(N, H^t_a(X)) which present some results about cofiniteness, Bass numbers, Betti numbers and projective dimensions of local cohomology modules. Also, we study section functors of local cohomology modules which has some results about Artinian and non-Artinian local cohomology modules.

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Produktbeschreibung
Let 'a' be an ideal of a commutative Noetherian ring R and let 'X' be an arbitrary R-module. In this book, we discuss the properties of extension module Ext^s_R(N, H^t_a(X)) and torsion module Tor_R^s(N, H^t_a(X)) which present some results about cofiniteness, Bass numbers, Betti numbers and projective dimensions of local cohomology modules. Also, we study section functors of local cohomology modules which has some results about Artinian and non-Artinian local cohomology modules.
Autorenporträt
The author graduated from Tarbiat Moallem University of Tehran in 2009. This book is based on his PhD thesis under supervision of Professors M. T. Dibaei and A. J. Taherizadeh. His field of study is Commutative Algebra. He is now a faculty member of Payame Noor University.