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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2012, Volume 154, Book 2, Pages 101–106 (Mi uzku1122)  
On weakly prime ideals of quasi-ordered semigroups

Yu. V. Zhuchoka, L. V. Kirtadzeb

a Lugansk Taras Shevchenko National University, Lugansk, Ukraine
b Abkhazian State University, Sukhumi, Abkhazia
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Abstract: We prove that every maximal ideal of a cone quasi-ordered semigroup is a weakly prime ideal. We found necessary and sufficient conditions under which all ideals of a quasi-ordered semigroup are weakly prime.
Keywords: quasi-ordered semigroup, weakly $n$-prime subset, weakly prime ideal, maximal ideal.
Received: 28.12.2011
Document Type: Article
UDC: 512.53
Language: Russian
Citation: Yu. V. Zhuchok, L. V. Kirtadze, “On weakly prime ideals of quasi-ordered semigroups”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154, no. 2, Kazan University, Kazan, 2012, 101–106
Citation in format AMSBIB
\Bibitem{ZhuKir12}
\by Yu.~V.~Zhuchok, L.~V.~Kirtadze
\paper On weakly prime ideals of quasi-ordered semigroups
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2012
\vol 154
\issue 2
\pages 101--106
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1122}
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