Recently, Billhardt has characterized the locally
inverse semigroups embeddable in Rees matrix semigroups
over generalized inverse semigroups. We prove here that
these semigroups are just the locally inverse semigroups
having weakly E-unitary covers.
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Western Sydney Univ, Ctr Res Math & Data Sci, Penrith, NSW 2751, AustraliaWestern Sydney Univ, Ctr Res Math & Data Sci, Penrith, NSW 2751, Australia
Muhammed, P. A. Azeef
Volkov, Mikhail V.
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Ural Fed Univ, Inst Nat Sci & Math, Ekaterinburg 620000, RussiaWestern Sydney Univ, Ctr Res Math & Data Sci, Penrith, NSW 2751, Australia
Volkov, Mikhail V.
Auinger, Karl
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Univ Wien, Fak Math, Oskar Morgenstern Pl 1, A-1090 Vienna, AustriaWestern Sydney Univ, Ctr Res Math & Data Sci, Penrith, NSW 2751, Australia