Geodesic
Ideals of IS-algebras Based on $\mathcal N$-structures
Kragujevac Journal of Mathematics, Tome 42 (2018) no. 4, p. 631

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The notion of a left {\rm(}resp., right{\rm)} ${\mathcal N}_{\mathcal I}$-ideal is introduced, and related properties are investigated. Characterizations of a left {\rm(}resp., right{\rm)} ${\mathcal N}_{\mathcal I}$-ideal are considered. Translations of a left {\rm(}resp., right{\rm)} ${\mathcal N}_{\mathcal I}$-ideal are studied. We show that the homomorphic image (preimage) of a left {\rm(}resp., right{\rm)} ${\mathcal N}_{\mathcal I}$-ideal is a left {\rm(}resp., right{\rm)} ${\mathcal N}_{\mathcal I}$-ideal. The notion of retrenched left {\rm(}resp., right{\rm)} ${\mathcal N}_{\mathcal I}$-ideals is introduced, and their properties are investigated.
Classification : 06F35 03G25, 03B52
Keywords: Left \rm(resp , right\rm) $\mathcal N_\mathcal I$-ideal, translation, closed support, retrenched left \rm(resp , right\rm) $\mathcal N_\mathcal I$-ideal 
@article{KJM_2018_42_4_a13,
     author = {Hashem Bordbar and Mohammad Mehdi Zahedi and Young Bae Jun},
     title = {Ideals of {IS-algebras} {Based} on $\mathcal N$-structures},
     journal = {Kragujevac Journal of Mathematics},
     pages = {631 },
     publisher = {mathdoc},
     volume = {42},
     number = {4},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2018_42_4_a13/}
}
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Hashem Bordbar; Mohammad Mehdi Zahedi; Young Bae Jun. Ideals of IS-algebras Based on $\mathcal N$-structures. Kragujevac Journal of Mathematics, Tome 42 (2018) no. 4, p. 631 . http://geodesic.mathdoc.fr/item/KJM_2018_42_4_a13/