Generalized kernels of ordered semigroups
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SUMMAPRAB, Pisan, CHANGPHAS, Thawhat. Generalized kernels of ordered semigroups. In: Quasigroups and Related Systems, 2018, vol. 26, nr. 2(40), pp. 309-316. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 26, Numărul 2(40) / 2018 / ISSN 1561-2848

Generalized kernels of ordered semigroups

CZU: 512.534
MSC 2010: 06F05, 20M12

Pag. 309-316

Summaprab Pisan1, Changphas Thawhat2
 
1 Department of Mathematics, Rajamangala University of Technology,
2 Khon Kaen University
 
 
Disponibil în IBN: 18 februarie 2019


Rezumat

We investigate three kinds of generalized kernels of an ordered semigroup. Those that are the intersection of all prime ideals, the intersection of all maximal ideals, and the intersection of all completely prime ideals. We obtain a structure of an ordered semigroup for which the intersection of all prime ideals coincides with the intersection of all maximal ideals.

Cuvinte-cheie
ordered semigroup, generalized kernel, maximal ideal, prime ideal, completely prime ideal, completely semiprime ideal.