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- W1638005353 abstract "A characterization of congruences in free semigroups is presented. 1. Semigroups In this, and the next four sections, we recall for convenience of notation and terminology several basic concepts and constructions related to semigroups, [1,2]. The characterization of congruences in free semigroups is presented in section 6. This seemingly new result has recently had important applications which are published elsewhere. A semigroup is a structure (S, ⋆), where S is a nonvoid set and ⋆ : S × S −→ S is a binary operation on S which is associative, that is, it satisfies the condition (1.1) ⋆(u, ⋆(v, w)) = ⋆(⋆(u, v), w), u, v, w ∈ S Here we recall that it is customary to denote ⋆(u, v) simply by u ⋆ v, for u, v ∈ S. Consequently, the above associativity condition is equivalent with" @default.
- W1638005353 created "2016-06-24" @default.
- W1638005353 creator A5019379937 @default.
- W1638005353 date "2008-10-17" @default.
- W1638005353 modified "2023-09-27" @default.
- W1638005353 title "The Necessary Structure of Congruences in Free Semigroups" @default.
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