Building semigroups from groups (and reduced semigroups) |
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Authors: | Pierre Antoine Grillet |
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Affiliation: | (1) Kansas State University, 66502 Manhattan, Kansas |
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Abstract: | Any semigroup can be quite explicitly rebuilt from its quotient by any congruence contained in ℋ and certain groups and mappings. This fact underlies most of the classical and recent structure theorems in semigroup theory, and yields new ones, e.g. concerning finite commutative semigroups. |
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