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On the Left and Right Cohomological Dimension of Monoids

On the Left and Right Cohomological Dimension of Monoids In this paper we show that, given 0⩽m, n⩽∞, any monoid can be embedded into a monoid with left cohomological dimension m and right cohomological dimension n. The embedding can be chosen to preserve various monoid‐theoretical properties. 1991 Mathematics Subject Classification 20M50. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

On the Left and Right Cohomological Dimension of Monoids

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References (22)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/S0024609398004676
Publisher site
See Article on Publisher Site

Abstract

In this paper we show that, given 0⩽m, n⩽∞, any monoid can be embedded into a monoid with left cohomological dimension m and right cohomological dimension n. The embedding can be chosen to preserve various monoid‐theoretical properties. 1991 Mathematics Subject Classification 20M50.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Jul 1, 1998

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