Variety Of Finite Semigroups

(Semigroup Theory)

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Semigroup Theory
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What is Variety of finite semigroups?

In mathematics, and more precisely in semigroup theory, a variety of finite semigroups is a class of semigroups having some nice algebraic properties. Those classes can be defined in two distinct ways, using either algebraic notions or topological notions. Varieties of finite monoids, varieties of finite ordered semigroups and varieties of finite ordered monoids are defined similarly. This notion is very similar to the general notion of variety in universal algebra.

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algebraic structuremathematical structuresemigroup theory

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