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The Immersibility of a Semigroup into a Group

Published online by Cambridge University Press:  20 November 2018

J. Lambek
J. Lambek*
Affiliation:
McGill University
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Extract

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A semigroup is a set of elements which is closed under an associative operation, usually called multiplication. When can a semigroup be embedded in a group, i.e., under what condition is it isomorphic to a subset of a group? A necessary condition for immersibility is clearly the so-called cancellation law:

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 3 , 1951 , pp. 34 - 43
Copyright
Copyright © Canadian Mathematical Society 1951

References

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