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ON THE LEFT AND RIGHT COHOMOLOGICAL DIMENSION OF MONOIDS

Published online by Cambridge University Press:  01 July 1998

V. S. GUBA  and
S. J. PRIDE
V. S. GUBA
Affiliation:
Department of Mathematics, Vologda State Pedagogical University, S. Orlov St., 6, Vologda 160600, Russia
S. J. PRIDE
Affiliation:
Department of Mathematics, University of Glasgow, University Gardens, Glasgow G12 8QW
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Abstract

In this paper we show that, given 0[les ]m, n[les ]∞, 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.

Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 30 , Issue 4 , July 1998 , pp. 391 - 396
Copyright
© The London Mathematical Society 1998

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