A note on maximal ideals in ordered semigroups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A note on maximal ideals in ordered semigroups
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| Creator |
Kehayopulu, N.
Ponizovskii, J. Tsingelis, M. |
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| 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. |
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| Date |
2019-06-15T17:39:26Z
2019-06-15T17:39:26Z 2003 |
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| Type |
Article
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| Identifier |
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.
1726-3255 2000 Mathematics Subject Classification: 06F05. http://dspace.nbuv.gov.ua/handle/123456789/154673 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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