Inverse semigroups which are separated over a subsemigroup
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- by D. B. McAlister PDF
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Abstract:
An inverse semigroup T is separated over a subsemigroup S if T is generated, as an inverse semigroup, by S and for each $a,b,\epsilon S$ there exists $x\;\epsilon \;Sa \cap Sb$ such that ${a^{ - 1}}a{b^{ - 1}}b = {x^{ - 1}}x$ and dually for right ideals. For example, if T is generated as an inverse semigroup by a semigroup S whose principal left and right ideals form chains under inclusion, then T is separated over S. In this paper we investigate the structure of inverse semigroups T which are separated over subsemigroups S.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 182 (1973), 85-117
- MSC: Primary 20M10
- DOI: https://doi.org/10.1090/S0002-9947-1973-0327952-0
- MathSciNet review: 0327952