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The Least Commutative Congruence on a simple regular ω-semigroup†
Published online by Cambridge University Press: 18 May 2009
Extract
Piochi in [10] gives a description of the least commutative congruence γ of an inverse semigroup in terms of congruence pairs and generalizes to inverse semigroups the notion of solvability. The object of this paper is to give an explicit construction of λ for simple regular ω-semigroups exploiting the work of Baird on congruences on such semigroups. Moreover the connection between the solvability classes of simple regular ω-semigroups and those of their subgroups is studied.
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- Copyright © Glasgow Mathematical Journal Trust 1990
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