On primary ordered semigroups
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2024-06-02 21:56
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SUMMAPRAB, Pisan. On primary ordered semigroups. In: Quasigroups and Related Systems, 2024, vol. 32, nr. 1, pp. 129-140. ISSN 1561-2848. DOI: https://doi.org/10.56415/qrs.v32.11
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Quasigroups and Related Systems
Volumul 32, Numărul 1 / 2024 / ISSN 1561-2848

On primary ordered semigroups

DOI:https://doi.org/10.56415/qrs.v32.11
CZU: 512.53
MSC 2010: 06F05

Pag. 129-140

Summaprab Pisan12
 
1 Department of Mathematics, Rajamangala University of Technology,
2 Khon Kaen University
 
 
Disponibil în IBN: 23 aprilie 2024


Rezumat

In this paper, left primary, right primary, primary and semiprimary ideals of ordered semigroups are introduced. Moreover, we introduce an ordered semigroups in which every ideal is primary and every ideal is semiprimary which is a generalization of primary and semiprimary semigroups.

Cuvinte-cheie
ordered semigroup, primary, semiprimary, semisimple, semiprime ideal, prime ideal