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Amplitude inequalities for Differential Graded modules

Amplitude inequalities for Differential Graded modules The amplitude of a Differential Graded module M is defined in terms of its homology H( M ) by amp M = sup{ i | H i ( M ) ≠ 0} – inf{ i | H i ( M ) ≠ 0}. The main result of this paper is that if R is a sufficiently nice local chain Differential Graded algebra with amp R < ∞, then each compact Differential Graded R -module M with non-zero homology satisfies amp M ≥ amp R . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

Amplitude inequalities for Differential Graded modules

Jørgensen, Peter
Forum Mathematicum , Volume 22 (5) – Sep 1, 2010
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Publisher
de Gruyter
Copyright
© de Gruyter 2010
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/FORUM.2010.049
Publisher site
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Abstract

The amplitude of a Differential Graded module M is defined in terms of its homology H( M ) by amp M = sup{ i | H i ( M ) ≠ 0} – inf{ i | H i ( M ) ≠ 0}. The main result of this paper is that if R is a sufficiently nice local chain Differential Graded algebra with amp R < ∞, then each compact Differential Graded R -module M with non-zero homology satisfies amp M ≥ amp R .

Journal

Forum Mathematicum – de Gruyter

Published: Sep 1, 2010

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