Vol. 35, No. 1, 1970

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On the structure of commutative periodic semigroups

B. D. Arendt and C. J. Stuth

Vol. 35 (1970), No. 1, 1–6
Abstract

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
Milestones
Received: 7 October 1969
Published: 1 October 1970
Authors
B. D. Arendt
C. J. Stuth