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Power regular semigroups

The author discusses conditions on a semigroup which make it power regular. A semigroup S is said to be power regular provided that for each \(a\in S\), there exists a positive integer n such that \(a^ n\in a^ nSa^ n\). Some variations of this definition are considered along with results which give equivalent conditions for a semigroup to be completely
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Regular as clockwork

Nature Reviews Drug Discovery, 2002
exaly  

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