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| Ultima descărcare din IBN: 2024-01-28 22:47 |
 SM ISO690:2012HANSDA, Kalyan. Regularity of subsemigroups generated by ordered idempotents. In: Quasigroups and Related Systems, 2014, vol. 22, nr. 2(32), pp. 217-222. ISSN 1561-2848. |
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 Quasigroups and Related Systems |
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| Volumul 22, Numărul 2(32) / 2014 / ISSN 1561-2848 | ||||||
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An element e of an ordered semigroup S is called an ordered idempotent if e 6 e2. If we consider a subsemigroup S0 of an ordered semigroup S as an ordered semigroup then the set Reg6(S0) of all ordered regular elements of S0 is not identical with Reg6(S) \ S0 in general. Here we develop some equivalent conditions on the equality of these two sets for S0 = (Se]; (eS] and (eSf], where e; f are ordered idempotents. |
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