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Decomposition of a locally associative LA-semigroup. (English) Zbl 0682.20049
We show that any locally associative LA-semigroup S with left identity is uniquely expressible as a semilattice of archimedean components. Also we show that S is separative if and only if the archimedean components of S are cancellative and that S can be embedded in a union of groups if and only if it is separative.
Reviewer: Q.Mushtaq

MSC:
20M99Semigroups
20M10General structure theory of semigroups
References:
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[4]Mushtaq, Q. and S.M. Yusuf,On LA-semigroups, The Aligarh Bull. Math., 8(1978), 65–70.
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