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Commutative Energetic Subsets of BCK-Algebras
(Wydawnictwo Uniwersytetu Łódzkiego, 2016)
The notions of a C-energetic subset and (anti) permeable C-value in BCK-algebras are introduced, and related properties are investigated. Conditions for an element t in [0, 1] to be an (anti) permeable C-value are provided. ...
Positive Implicative Soju Ideals in BCK-Algebras
(Wydawnictwo Uniwersytetu Łódzkiego, 2019)
The notion of positive implicative soju ideal in BCK-algebra is introduced, and several properties are investigated. Relations between soju ideal and positive implicative soju ideal are considered, and characterizations ...
Pseudo-BCH Semilattices
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)
In this paper we study pseudo-BCH algebras which are semilattices or lattices with respect to the natural relations ≤; we call them pseudo-BCH join-semilattices, pseudo-BCH meet-semilattices and pseudo-BCH lattices, ...
PC-lattices: A Class of Bounded BCK-algebras
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)
In this paper, we define the notion of PC-lattice, as a generalization of finite positive implicative BCK-algebras with condition (S) and bounded commutative BCK-algebras. We investiate some results for Pc-lattices being ...
Int-Soft Ideals of Pseudo MV-Algebras
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)
The notion of (implicative) int-soft ideal in a pseudo MV-algebra is introduced, and related properties are investigated. Conditions for a soft set to be an int-soft ideal are provided. Characterizations of (implicative) ...