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	2015-10-19T07:34:36Z
dc.date.available	2015-10-19T07:34:36Z
dc.date.issued	2002-12-06
dc.identifier.uri	http://hdl.handle.net/123456789/47
dc.description	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	Луганский национальный университет им. Т. Шевченко	uk_UA
dc.title	A note on maximal ideals in ordered semigroups	uk_UA
dc.type	Article	uk_UA