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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 ...
Semi-Heyting Algebras and Identities of Associative Type
(Wydawnictwo Uniwersytetu Łódzkiego, 2019)
An algebra A = ⟨A, ∨, ∧, →, 0, 1⟩ is a semi-Heyting algebra if ⟨A, ∨, ∧, 0, 1⟩ is a bounded lattice, and it satisfies the identities: x ∧ (x → y) ≈ x ∧ y, x ∧ (y → z) ≈ x ∧ [(x ∧ y) → (x ∧ z)], and x → x ≈ 1. SH denotes ...