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 SM ISO690:2012GIGON, Roman. Some results on E-inversive semigroups. In: Quasigroups and Related Systems, 2012, vol. 20, nr. 1(27), pp. 53-60. ISSN 1561-2848. |
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 Quasigroups and Related Systems |
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| Volumul 20, Numărul 1(27) / 2012 / ISSN 1561-2848 | ||||||
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| Pag. 53-60 | ||||||
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In the paper we study E-inversive semigroups. We show that E-inversive semigroups are M-semigroups and we prove that M-biordered sets arise from E-inversive semigroups. More-over, some connections between bi-ideals of an E-inversive semigroup S and bi-order ideals, order bi-ideals of the biordered set ES of S are given. Further, some results of Janet Mills concerning matrix congruences on orthodox semigroups are generalized to E-inversive E-semigroups. Also, we prove that the class of all E-inversive semigroups is structurally closed. |
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| Cuvinte-cheie E-inversive semigroup, M-semigroup, matrix congruence., bi-ideal |
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