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arXiv · 1706.08213

Idempotent ordered semigroup

K. Hansda
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Abstract

An element e of an ordered semigroup $(S,\cdot,\leq)$ is called an ordered idempotent if $e\leq e^2$. We call an ordered semigroup $S$ idempotent ordered semigroup if every element of $S$ is an ordered idempotent. Every idempotent semigroup is a complete semilattice of rectangular idempotent semigroups and in this way we arrive to many other important classes of idempotent ordered semigroups.

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K. Hansda. 2017-06-26. Idempotent ordered semigroup. https://arxiv.org/abs/1706.08213

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