1. Weak closure operations on ideals of BCK-algebrasHashem Bordbar, 2017, original scientific article Abstract: Weak closure operation, which is more general form than closure operation, on ideals of BCK- algebras is introduced, and related properties are investigated. Regarding weak closure operation, finite type and (strong) quasi-primeness are considered. Also positive implicative (resp., commutative and implicative) weak closure operations are discussed. Found in: ključnih besedah Summary of found: ...quasi-primeness are considered. Also positive implicative (resp., commutative and implicative) weak closure operations are discussed.... Keywords: weak closure operation of finite type, (quasi-prime, positive implicative, commutative, implica- tive) weak closure operation. Published: 01.12.2019; Views: 1854; Downloads: 0
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2. Relative annihilators in lower BCK-semilatticesHashem Bordbar, Mohammad Mehdi Zahedi, Young Bae Jun, 2017, original scientific article Abstract: As a generalization of annihilators, the notion of a relative annihilator is introduced, and their properties are investigated. Conditions for a relative annihilator to be an implicative (resp., positive implicative, commutative) ideal are discussed. Found in: ključnih besedah Summary of found: ...to be an implicative (resp., positive implicative, commutative) ideal are discussed.... Keywords: Lower BCK-semilattice, relative annihilator, implicative ideal, positive implicative ideal, commutative ideal Published: 01.12.2019; Views: 1901; Downloads: 0
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5. Implicative falling neutrosophic ideals of BCK-algebrasRajab Ali Borzooei, Young Bae Jun, Florentin Smarandache, Hashem Bordbar, Xiao Long Xin, 2021, original scientific article Abstract: The notions of an implicative (2; 2)-neutrosophic ideal and an implicative falling neutrosophic ideal are
introduced, and several properties are investigated. Characterizations of an implicative (2; 2)-neutrosophic ideal
are considered, and relations between an implicative (2; 2)-neutrosophic ideal and an (2; 2)-neutrosophic ideal are
discussed. Conditions for an (2; 2)-neutrosophic ideal to be an implicative (2; 2)-neutrosophic ideal are provided,
and relations between an implicative (2; 2)-neutrosophic ideal, a falling neutrosophic ideal and an implicative falling
neutrosophic ideal are studied. Conditions for a falling neutrosophic ideal to be implicative are provided. Relations
between implicative falling neutrosophic ideal, commutative falling neutrosophic ideal and positive implicative falling
neutrosophic ideal are discussed. Found in: ključnih besedah Summary of found: ...are provided. Relations
between implicative falling neutrosophic ideal, commutative falling neutrosophic ideal and positive implicative falling
neutrosophic... Keywords: neutrosophic random set, neutrosophic falling shadow, (positive implicative) (2, 2)-neutrosophic ideal, (positive implicative) falling neutrosophic ideal, (commutative) (2, 2)-neutrosophic ideal, (commutative) falling neutrosophic ideal Published: 15.03.2021; Views: 988; Downloads: 0
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