A note on maximal ideals in ordered semigroups
dc.contributor.author | Kehayopulu, N. | |
dc.contributor.author | Ponizovskii, J. | |
dc.contributor.author | Tsingelis, M. | |
dc.date.accessioned | 2019-06-15T17:39:26Z | |
dc.date.available | 2019-06-15T17:39:26Z | |
dc.date.issued | 2003 | |
dc.description.abstract | In commutative rings having an identity element, every maximal ideal is a prime ideal, but the converse statement does not hold, in general. According to the present note, similar results for ordered semigroups and semigroups -without order- also hold. In fact, we prove that in commutative ordered semigroups with identity each maximal ideal is a prime ideal, the converse statement does not hold, in general. | uk_UA |
dc.identifier.citation | A note on maximal ideals in ordered semigroups / N. Kehayopulu, J. Ponizovskii, M. Tsingelis // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 1. — С. 32–35. — Бібліогр.: 3 назв. — англ. | uk_UA |
dc.identifier.issn | 1726-3255 | |
dc.identifier.other | 2000 Mathematics Subject Classification: 06F05. | |
dc.identifier.uri | https://nasplib.isofts.kiev.ua/handle/123456789/154673 | |
dc.language.iso | en | uk_UA |
dc.publisher | Інститут прикладної математики і механіки НАН України | uk_UA |
dc.relation.ispartof | Algebra and Discrete Mathematics | |
dc.status | published earlier | uk_UA |
dc.title | A note on maximal ideals in ordered semigroups | uk_UA |
dc.type | Article | uk_UA |
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