Left quasi-regular and intra-regular ordered semigroups using fuzzy ideals
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KEHAYOPULU, Niovi. Left quasi-regular and intra-regular ordered semigroups using fuzzy ideals. In: Quasigroups and Related Systems, 2012, vol. 20, nr. 2(28), pp. 239-249. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 20, Numărul 2(28) / 2012 / ISSN 1561-2848

Left quasi-regular and intra-regular ordered semigroups using fuzzy ideals

Pag. 239-249

Kehayopulu Niovi
 
University of Athens
 
 
Disponibil în IBN: 25 februarie 2014


Rezumat

As a continuation of our paper in [6], we characterize here the ordered semigroups which are both intra-regular and left (right) quasi-regular also the ordered semigroups which are both regular and intra-regular in terms of fuzzy right, fuzzy left and fuzzy bi-ideals using rst the rst and then the second denitions of fuzzy ideals. As in [6], comparing the proofs of the results using the two denitions, we see that with the second denitions the proofs of the results are drastically simplied.

Cuvinte-cheie
ordered semigroup, Regular, intra-regular,

left quasi-regular