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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
Subjects:	maximal ideal prime ideal in ordered semigroups 06F05
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

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