Results 41 to 50 of about 89 (75)
Congruences on orthodox semigroups [PDF]
Bulletin of the Australian Mathematical Society, 1970 openaire +1 more source
Bi-ideals in orthodox semigroups
, 1987 A bi-ideal of a semigroup S is a subsemigroup B with BSB\(\subseteq B\). The author investigates the relations between bi-ideals of an orthodox semigroup S and of its band E of idempotents. The main theorem states that for any bi-ideal E' of E, E'SE' is the unique bi-ideal of S with band E'.
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Orthodox Semigroups and E-unitary Regular Semigroups
Orthodox Semigroups and E-unitary Regular Semigroupsapplication/pdf 論文(Article) http://webcatplus-equal.nii.ac.jp/libportal/DocDetail?txt_docid=NCID ...
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Quasi-inverse semigroup congruences on an orthodox semigroup
Semigroup Forum, 1975 openaire +2 more sources
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Science in China Series A: Mathematics, 2009
Let \(S\) be a semigroup with the set of idempotents \(E(S)\). For \(a\in S\) and a non-empty subset \(U\subseteq E(S)\) denote \(U_a^r=\{u\in U\mid au=a\}\) and define relation \(\widetilde{\mathcal L}^U\) by \(a\widetilde{\mathcal L}^Ub\Leftrightarrow U_a^r=U_b^r \); definition of \(\widetilde{\mathcal R}^U\) is dual.
Xueming Ren, Kar Ping Shum
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Let \(S\) be a semigroup with the set of idempotents \(E(S)\). For \(a\in S\) and a non-empty subset \(U\subseteq E(S)\) denote \(U_a^r=\{u\in U\mid au=a\}\) and define relation \(\widetilde{\mathcal L}^U\) by \(a\widetilde{\mathcal L}^Ub\Leftrightarrow U_a^r=U_b^r \); definition of \(\widetilde{\mathcal R}^U\) is dual.
Xueming Ren, Kar Ping Shum
exaly +2 more sources
Formations of orthodox semigroups
Semigroup Forum, 2023A semigroup \(S\) is said to be \textit{regular} if for each \(a\in S\) there is \(b\in S\) with \(aba = a\). An \textit{orthodox semigroup} is a regular semigroup whose set of idempotents is a subsemigroup. A class of orthodox semigroups is called a \textit{bivariety} if it is closed for orthodox subsemigroups, for quotients, and for direct products ...
Gomes, Gracinda M. S. +1 more
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