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On the Left and Right Cohomological Dimension of Monoids
Author(s) -
Guba V. S.,
Pride S. J.
Publication year - 1998
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609398004676
Subject(s) - mathematics , monoid , cohomological dimension , dimension (graph theory) , embedding , pure mathematics , dimension theory (algebra) , global dimension , subject (documents) , algebra over a field , cohomology , computer science , artificial intelligence , library science
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.