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inverse semigroups

inverse semigroups is the plural of inverse semigroup.

Meaning of inverse semigroup

Noun

inverse semigroup (plural inverse semigroups)

  1. A semigroup in which every element x has an inverse y, such that x = xyx and y = yxy.
    • 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.2002, Peter G. Trotter, “A.9: Regular Semigroups”, in Aleksandr Vasilʹevich Mikhalev, Günter Pilz, editors, The Concise Handbook of Algebra, page 35

Questions about inverse semigroups

What is inverse semigroups the plural of?
Inverse semigroups is the plural of inverse semigroup.

Words near inverse semigroups in the dictionary

  1. inverse matrixes
  2. inverse number
  3. inverse proportion
  4. inverse Pythagorean theorem
  5. inverse semigroup
  6. inverse semigroups
  7. inverse sine
  8. inverse sines
  9. inverse spelling
  10. inverse spellings
  11. inverse system

Source and license

Adapted from Wiktionary: inverse semigroups (page history and authors); inverse semigroup (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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