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Meaning of inverse semigroup | Babel Free

Noun CEFR B2

Definitions

A semigroup in which every element x has an inverse y, such that x = xyx and y = yxy.

Equivalents

Deutsch inverse Halbgruppe

Examples

“Examples of regular semigroups include any band, inverse semigroup or completely regular semigroup (see sections A. 2, A. 11, and A. 10); in particular, any group is a regular semigroup.”
“Inverse semigroups form a class of semigroups which are closest (in some sense) to groups.”
“Inverse semigroups are central to modern semigroup theory: arguably, they form the most-studied class of semigroups.”

CEFR level

B2
Upper Intermediate
This word is part of the CEFR B2 vocabulary — upper intermediate level.
See all B2 English words →

See also

inverse sine inverse spelling inverse system inverse tangent inverse trigonometric function inverse video

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