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On the Structure of Idempotent Semigroups

R. J. Warne
Proceedings of the American Mathematical Society
Vol. 37, No. 1 (Jan., 1973), pp. 17-21
DOI: 10.2307/2038697
Stable URL: http://www.jstor.org/stable/2038697
Page Count: 5
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On the Structure of Idempotent Semigroups
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Abstract

An idempotent semigroup (band) is a semigroup in which every element is an idempotent. We describe the structure of idempotent semigroups in terms of semilattices Ω, partial chains Ω of left zero semigroups, and partial chains Ω of right zero semigroups. We also describe bands of maximal left zero semigroups in terms of partial chains Ω of left zero semigroups and semilattices Ω of right zero semigroups.

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