Results 191 to 199 of about 1,691 (199)

Very true GE-algebras

2022
Summary: The concept of very true GE-algebra using very true operator is introduced and its properties are studied to expand the scope of research of GE-algebras. The concepts of simple very true GE-algebra and very true GE-filter are introduced. The characterization of simple very true GE-algebra is discussed, and several properties on very true GE ...
Jun, Young Bae, Bandaru, Ravi Kumar, Shaik, Manzoor Kaleem   +2 more
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Prominent GE-Filters and GE-Morphisms in GE-Algebras

Afrika Matematika, 2021
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Akbar Rezaei, Ravikumar Bandaru, Arsham Borumand Saeid, Young Bae Jun   +3 more
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Deductive systems of GE-algebras

2022
Summary: A new sub-structure called (vivid) deductive system is introduced and their properties are examined. Conditions for a subset to be a deductive system are provided. The notion of upper GE-set is also introduced, and an example to show that any upper GE-set may not be a deductive system are supplied.
Jun, Young Bae, Bandaru, Ravikumar
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On GE-ideals of bordered GE-algebras

2023
Summary: In this paper, the properties of GE-ideals of transitive bordered GE-algebra are studied and characterizations of GE-ideals are given. We have observed that the set of all GE-ideals of a transitive bordered GE-algebra forms a complete lattice.
Shaik, Manzoor Kaleem, Bandaru, Ravikumar, Sambasiva Rao, Mukkamala, Jun, Young Bae   +3 more
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Voluntary GE-filters and further results of GE-filters in GE-algebras

2022
Summary: Further properties on (belligerent) GE-filters are discussed, and the quotient GEalgebra via a GE-filter is established. Conditions for the set \(\vec{c}\) to be a belligerent GE-filter are provided. The extension property of belligerent GE-filter is composed. The notions of a balanced element, a balanced GE-filter, an antisymmetric GE-algebra
Borumand Saeid, A., Rezaei, A., Bandaru, R., Jun, Y. B.   +3 more
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Bordered GE-algebras

Summary: The notions of (transitive, commutative, antisymmetric) bordered GE-algebras are introduced, and their properties are investigated. Relations between a commutative bordered GE-algebra and an antisymmetric bordered GE-algebra are considered, and also relations between a commutative bordered GE-algebra and a transitive bordered GE-algebra are ...
Bandaru, Ravikumar, Ozturk, Mehmet Ali, Jun, Young Bae   +2 more
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Connections between GE algebras and pre-Hilbert algebras

2023
Summary: GE algebras (generalized exchange algebras) and pre-Hilbert algebras are a generalization of well-known Hilbert algebras. In the paper, connections between these algebras are studied. In particular, it is proven that pi-BE algebras are equivalent with GE algebras satisfying the exchange property.
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Fuzzy GE-filters of GE-algebras

Summary: In this paper, notions of \(\in_t\)-set and \(Q_t\)-set of a fuzzy set \(f\) in a GE-algebra \(X\) are introduced and defined fuzzy GE-algebra in terms of \(\in_t\)-set. We provided conditions for the \(\in_t\)-set and \(Q_t\)-set of a fuzzy set \(f\) to be GE-subalgebras of \(X\). We provided conditions for a fuzzy set in a GE-algebra to be a
Bandaru, R., Alemayehu, T. G., Jun, Y. B.   +2 more
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Derivations of prime filter theorems generated by various \(\cap\)-structures in transitive GE-algebras

Summary: Properties of prime filters and maximal filters of transitive GE-algebras are investigated. An element-wise characterization is derived for the smallest GE-filter containing a given set. It is proved that the set of all GE-filters of a transitive GE-algebra forms a complete distributive lattice.
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