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On the foundations of inverse monoids and inverse algebras

Published online by Cambridge University Press:  20 January 2009

Jonathan Leech
Jonathan Leech
Affiliation:
Department of Mathematics, Westmont College, 955 La Paz Road, Santa Barbara, California 93108–1099, U.S.A. E-mail address: [email protected]
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Abstract

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Symmetric inverse monoids of objects in arbitrary categories are studied. Necessary and sufficient conditions are given for such monoids to be E-unitary or else form (complete) inverse algebras. Particular attention is given to symmetric inverse monoids of objects in free categories.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 41 , Issue 1 , February 1998 , pp. 1 - 21
Copyright
Copyright © Edinburgh Mathematical Society 1998

References

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