A note on maximal ideals in ordered semigroups

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 s...

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Bibliographic Details
Date:2018
Main Authors: Kehayopulu, N., Ponizovskii, J., Tsingelis, M.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/951
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics