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 SM ISO690:2012CHANGPHAS, Thawhat. Ascending chain conditions on principal left
and right ideals for semidirect products of
ordered semigroups. In: Quasigroups and Related Systems, 2013, vol. 21, nr. 2(30), pp. 147-154. ISSN 1561-2848. |
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 Quasigroups and Related Systems |
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| Volumul 21, Numărul 2(30) / 2013 / ISSN 1561-2848 | ||||||
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| Pag. 147-154 | ||||||
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An ordered semigroup S is said to satisfy the ascending chain condition for principal left ideals (respectively, principal right ideals) of S if S if there does not exist an in nite strictly
ascending chain of principal left ideals (respectively, principal right ideals) of S. In this paper, the ascending chain condition on principal left and right ideals for semidirect products of ordered semigroups are considered. The results obtained extend the results on semigroups. |
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| Cuvinte-cheie semigroup, ordered semigroup, idempotent, Regular, endomorphism, principal left ideal, ascending chain condition, semidirect product |
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