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On Derived SuperHyper BE-Algebras [PDF]
Neutrosophic Sets and Systems, 2023 Florentin Smarandache, introduced a creative idea named superhyper algebras as a popularization of algebras, via the nested power sets, superhyper operation, and superhyper axiom.
Sirus Jahanpanah, Roohallah Daneshpayeh
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Quasi-Complemented BE-Algebras
Discussiones Mathematicae - General Algebra and Applications, 2021 The concept of O-filters is introduced in commutative BE-algebras. An equivalent condition is derived for every strong regular filter of a BE-algebra to become an O-filter.
Kumar V. Venkata +2 more
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On topological BE-algebras [PDF]
Mathematica Moravica, 2017 In this paper, we study some properties of uniform topology and topological BE-algebras and compare this topologies.
Mehrshad S., Golzarpoor J.
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Journal of Mathematics, 2023 The concept of Γα,β-BE-algebra is introduced as a generalization of a Γα-BE-algebra and a Γβ-BE-algebra and its properties are studied. We introduced the concepts of α,β-subalgebra and α,β-filter of a Γα,β-BE-algebra and discussed the relation between ...
Ravikumar Bandaru +3 more
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Prime Ideals of Transitive BE-Algebras
Discussiones Mathematicae - General Algebra and Applications, 2022 The notion of prime ideals is introduced in transitive BE-algebras. Prime ideals are characterized with the help of principal ideals. Prime ideal theorem is stated and derived for BE-algebras.
Prabhakar M. Bala +2 more
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Mathematics Interdisciplinary Research, 2023 In this paper, we define the notion of hyper CI-algebras as a generalization of hyper BE-algebras and present some properties. Also, the concepts of a weak hyper filter and a hyper filter over hyper CI-algebras is defined.
Somayeh Borhani Nejad Rayeni +1 more
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On Quantum-MV algebras - Part II: Orthomodular Lattices, Softlattices and Widelattices [PDF]
Transactions on Fuzzy Sets and Systems, 2022 Orthomodular lattices generalize the Boolean algebras; they have arisen in the study of quantum logic. Quantum-MV algebras were introduced as non-lattice theoretic generalizations of MV algebras and as non-idempotent generalizations of ...
Afrodita Iorgulescu
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Derivations of be-algebras from hyper be-algebras [PDF]
Kragujevac Journal of Mathematics, 2018 Summary: In this paper, we investigate some results in (BE-algebras) dual BCK-algebras and hyper (BE-algebras) dual \(K\)-algebras. We show that by a set \(X\), we can construct a hyper (BE-algebra) dual \(K\)-algebra. By concept of (BE-algebras) dual BCK-algebras and fundamental relation on hyper (BE-algebras) dual \(K\)-algebras the notion of ...
Hamidi, M., Borumand Saeid, A.
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Neutro-Sigma Algebras and Anti-Sigma Algebras [PDF]
Neutrosophic Sets and Systems, 2022 Neutro-algebra structures play a significant role in the neutrosophic theory. Especially, with the help of neutroalgebraic structures; neutrosophic theory makes a valuable addition to the classical theory.
Memet Şahin
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Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper we introduce Sheffer stroke BE-algebras (briefly, SBE-algebras) and investigate a relationship between SBE-algebras and BE-algebras. By presenting a SBE-filter, an upper set and a SBE-subalgebra on a SBE-algebra, it is shown that any SBE-filter of a SBE-algebra is a SBE-subalgebra but the converse of this statement is not true. Besides we
Oner T., Katican T., Saeid A.B.
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