Concept information
Preferred term
inverse semigroup
Definition
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In group theory, an inverse semigroup (occasionally called an inversion semigroup) S is a semigroup in which every element x in S has a unique inverse y in S in the sense that x = xyx and y = yxy, i.e. a regular semigroup in which every element has a unique inverse. Inverse semigroups appear in a range of contexts; for example, they can be employed in the study of partial symmetries. (The convention followed in this article will be that of writing a function on the right of its argument, e.g. x f rather than f(x), and composing functions from left to right—a convention often observed in semigroup theory.)
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Inverse_semigroup)
Broader concept
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-NGW8L6C6-Q
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