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

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Zeitschriftentitel: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
Personen und Körperschaften: Schulz, Rainer
In: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 59, 1995, 3, S. 366-374
Format: E-Article
Sprache: Englisch
veröffentlicht:
Cambridge University Press (CUP)
Schlagwörter:
General Mathematics
Statistics and Probability
author_facet Schulz, Rainer
Schulz, Rainer
author Schulz, Rainer
spellingShingle Schulz, Rainer
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
Finite Generation of the Extension Algebra Ext(M, M)
General Mathematics
Statistics and Probability
author_sort schulz, rainer
spelling Schulz, Rainer 0263-6115 Cambridge University Press (CUP) General Mathematics Statistics and Probability http://dx.doi.org/10.1017/s1446788700037265 <jats:title>Abstract</jats:title><jats:p>For a module <jats:italic>M</jats:italic> Over an Artin algebra <jats:italic>R</jats:italic>, we discuss the question of whether the Yoneda extension algebra Ext<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" mimetype="image" xlink:type="simple" xlink:href="S1446788700037265_inline1" />(<jats:italic>M, M</jats:italic>) is finitely generated as an algebra. We give an answer for bounded modules <jats:italic>M</jats:italic>. (These are modules whose syzygies have direct summands of bounded lengths.)</jats:p> Finite Generation of the Extension Algebra Ext(M, M) Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
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series Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
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title Finite Generation of the Extension Algebra Ext(M, M)
title_unstemmed Finite Generation of the Extension Algebra Ext(M, M)
title_full Finite Generation of the Extension Algebra Ext(M, M)
title_fullStr Finite Generation of the Extension Algebra Ext(M, M)
title_full_unstemmed Finite Generation of the Extension Algebra Ext(M, M)
title_short Finite Generation of the Extension Algebra Ext(M, M)
title_sort finite generation of the extension algebra ext(m, m)
topic General Mathematics
Statistics and Probability
url http://dx.doi.org/10.1017/s1446788700037265
publishDate 1995
physical 366-374
description <jats:title>Abstract</jats:title><jats:p>For a module <jats:italic>M</jats:italic> Over an Artin algebra <jats:italic>R</jats:italic>, we discuss the question of whether the Yoneda extension algebra Ext<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" mimetype="image" xlink:type="simple" xlink:href="S1446788700037265_inline1" />(<jats:italic>M, M</jats:italic>) is finitely generated as an algebra. We give an answer for bounded modules <jats:italic>M</jats:italic>. (These are modules whose syzygies have direct summands of bounded lengths.)</jats:p>
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description <jats:title>Abstract</jats:title><jats:p>For a module <jats:italic>M</jats:italic> Over an Artin algebra <jats:italic>R</jats:italic>, we discuss the question of whether the Yoneda extension algebra Ext<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" mimetype="image" xlink:type="simple" xlink:href="S1446788700037265_inline1" />(<jats:italic>M, M</jats:italic>) is finitely generated as an algebra. We give an answer for bounded modules <jats:italic>M</jats:italic>. (These are modules whose syzygies have direct summands of bounded lengths.)</jats:p>
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spelling Schulz, Rainer 0263-6115 Cambridge University Press (CUP) General Mathematics Statistics and Probability http://dx.doi.org/10.1017/s1446788700037265 <jats:title>Abstract</jats:title><jats:p>For a module <jats:italic>M</jats:italic> Over an Artin algebra <jats:italic>R</jats:italic>, we discuss the question of whether the Yoneda extension algebra Ext<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" mimetype="image" xlink:type="simple" xlink:href="S1446788700037265_inline1" />(<jats:italic>M, M</jats:italic>) is finitely generated as an algebra. We give an answer for bounded modules <jats:italic>M</jats:italic>. (These are modules whose syzygies have direct summands of bounded lengths.)</jats:p> Finite Generation of the Extension Algebra Ext(M, M) Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
spellingShingle Schulz, Rainer, Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, Finite Generation of the Extension Algebra Ext(M, M), General Mathematics, Statistics and Probability
title Finite Generation of the Extension Algebra Ext(M, M)
title_full Finite Generation of the Extension Algebra Ext(M, M)
title_fullStr Finite Generation of the Extension Algebra Ext(M, M)
title_full_unstemmed Finite Generation of the Extension Algebra Ext(M, M)
title_short Finite Generation of the Extension Algebra Ext(M, M)
title_sort finite generation of the extension algebra ext(m, m)
title_unstemmed Finite Generation of the Extension Algebra Ext(M, M)
topic General Mathematics, Statistics and Probability
url http://dx.doi.org/10.1017/s1446788700037265