منابع مشابه
Foldness of Commutative Ideals in Bck-algebras
This paper deals with some properties of n-fold commutative ideals and n-fold weak commutative ideals in BCK-algebras. Afterwards, we construct some algorithms for studying foldness theory of commutative ideals in BCK-algebras.
متن کاملCommutative Pseudo valuations on BCK-Algebras
D. Buşneag 1 defined pseudo valuation on a Hilbert algebra and proved that every pseudo valuation induces a pseudometric on a Hilbert algebra. Also, D. Buşneag 2 provided several theorems on extensions of pseudo valuations. C. Buşneag 3 introduced the notions of pseudo valuations valuations on residuated lattices, and proved some theorems of extension for these using the model of Hilbert algebr...
متن کاملNeutrosophic Commutative N -Ideals in BCK-Algebras
Seok-Zun Song 1,* ID , Florentin Smarandache 2 and Young Bae Jun 3 1 Department of Mathematics, Jeju National University, Jeju 63243, Korea 2 Department of Mathematics & Science, University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USA; [email protected] 3 Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea; [email protected] * Correspondence: sz...
متن کاملPseudo-BCK algebras as partial algebras
It is well-known that the representation of several classes of residuated lattices involves lattice-ordered groups. An often applicable method to determine the representing group (or groups) from a residuated lattice is based on partial algebras: the monoidal operation is restricted to those pairs which fulfil a certain extremality condition, and else left undefined. The subsequent construction...
متن کاملON n-FOLD FUZZY IMPLICATIVE/COMMUTATIVE IDEALS OF BCK-ALGEBRAS
We consider the fuzzification of the notion of an n-fold implicative ideal, an n-fold (weak) commutative ideal. We give characterizations of an n-fold fuzzy implicative ideal. We establish an extension property for n-fold fuzzy commutative ideals. 2000 Mathematics Subject Classification. 06F35, 03G25, 03E72.
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1981
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700007024