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On the structure of
commutative periodic semigroups
B. D. Arendt and C. J. Stuth |
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Vol. 35 (1970), No. 1, 1–6
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Abstract |
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It is well known that a commutative periodic semigroup is a semilattice of one-idempotent (or unipotent) semigroups. Thus the characterization of commutative periodic semigroups reduces to two subproblems: (1) the structure of commutative periodic unipotent semigroups, and (2) the means for putting these together in the semilattice. In this paper a complete solution is given for problem (1), while problem (2) is solved for the special case where each unipotent subsemigroup is cyclic. |
Mathematical Subject Classification
Primary: 20.92
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Milestones
Received: 7 October 1969
Published: 1 October 1970
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Authors |
| B. D. Arendt | |
| C. J. Stuth | |
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