On Fuzzy Primary and Fuzzy Quasi-Primary Ideals in LA-Semigroups
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 4, p. 617
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The purpose of this paper is to introduce the notion of a weakly fuzzy quasi-primary ideals in LA-semigroups, we study fuzzy primary, fuzzy quasi-primary, fuzzy completely primary, weakly fuzzy primary and weakly fuzzy quasi-primary ideals in LA-semigroups. Some characterizations of weakly fuzzy primary and weakly fuzzy quasi-primary ideals are obtained. Moreover, we investigate relationships between fuzzy completely primary and weakly fuzzy quasi-primary ideals in LA-semigroups. Finally we show that a fuzzy left ideal $f$ is a weakly fuzzy quasi-primary ideal of $S_{2}$ if and only if $S_{1}×f$ is a weakly fuzzy quasi-primary ideal of $S_{1}×S_{2}$.
Classification :
03E72 94D05, 18B40
Keywords: LA-semigroup, fuzzy primary ideal, weakly fuzzy quasi-primary ideal, fuzzy completely primary ideal, fuzzy quasi-primary ideal
Keywords: LA-semigroup, fuzzy primary ideal, weakly fuzzy quasi-primary ideal, fuzzy completely primary ideal, fuzzy quasi-primary ideal
Pairote Yiarayong. On Fuzzy Primary and Fuzzy Quasi-Primary Ideals in LA-Semigroups. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 4, p. 617 . http://geodesic.mathdoc.fr/item/KJM_2022_46_4_a7/
@article{KJM_2022_46_4_a7,
author = {Pairote Yiarayong},
title = {On {Fuzzy} {Primary} and {Fuzzy} {Quasi-Primary} {Ideals} in {LA-Semigroups}},
journal = {Kragujevac Journal of Mathematics},
pages = {617 },
year = {2022},
volume = {46},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2022_46_4_a7/}
}