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Finite Generation of the Extension Algebra Ext(M, M)

Part of: Homological algebra Homological methods Chain conditions, growth conditions, and other forms of finiteness

Published online by Cambridge University Press:  09 April 2009

Rainer Schulz
Rainer Schulz
Affiliation:
Department of MathematicsNational University of SingaporeSingapore0511
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Abstract

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For a module M Over an Artin algebra R, we discuss the question of whether the Yoneda extension algebra Ext(M, M) is finitely generated as an algebra. We give an answer for bounded modules M. (These are modules whose syzygies have direct summands of bounded lengths.)

MSC classification

Secondary: 16E40: (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.) 16P10: Finite rings and finite-dimensional algebras 18G15: Ext and Tor, generalizations, Künneth formula
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 59 , Issue 3 , December 1995 , pp. 366 - 374
Copyright
Copyright © Australian Mathematical Society 1995

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