Endomorphism semigroups of some free products. (English. Russian original) Zbl 1267.20093
J. Math. Sci., New York 187, No. 2, 146-152 (2012); translation from Fundam. Prikl. Mat. 17, No. 3, 51-60 (2012).
From the introduction: We define a maximal subclass of the class of all semigroups, which, in particular, contains the class of all semigroups with a zero and the class of all \(\pi\)-regular semigroups, and we prove that every endomorphism semigroup of a free product of semigroups from this class is isomorphic to a wreath product of a transformation semigroup and some small category.
MSC:
| 20M20 | Semigroups of transformations, relations, partitions, etc. |
| 20M50 | Connections of semigroups with homological algebra and category theory |
| 20M05 | Free semigroups, generators and relations, word problems |
| 20E06 | Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations |
Keywords:
semigroups with zero; \(\pi\)-regular semigroups; endomorphism semigroups; free products of semigroups; transformation semigroups; small categoriesReferences:
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