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.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	http://dspace.nbuv.gov.ua/handle/123456789/154673
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.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	A note on maximal ideals in ordered semigroups	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA