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Ordered semigroups whose elements are separated by prime ideals

In: Mathematica Slovaca, vol. 62, no. 3
Niovi Kehayopulu
Detaily:
Rok, strany: 2012, 417 - 424
Kľúčové slová:
ideal in an ordered semigroup, prime (semiprime) subset, intra-regular (regular) semigroup, intra-regular (regular) ordered semigroup, elements separated by prime ideals, idempotent element, idempot
O článku:
In this paper we add one more characterization of intra-regular ordered semigroups in the existing bibliography by proving that the ordered semigroups whose elements are separated by prime ideals are actually the intra-regular ordered semigroups, a result which generalizes the corresponding result of semigroups (without order).
Ako citovať:
ISO 690:
Kehayopulu, N. 2012. Ordered semigroups whose elements are separated by prime ideals. In Mathematica Slovaca, vol. 62, no.3, pp. 417-424. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0018-9

APA:
Kehayopulu, N. (2012). Ordered semigroups whose elements are separated by prime ideals. Mathematica Slovaca, 62(3), 417-424. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0018-9
O vydaní:
Publikované: 1. 6. 2012