Results 11 to 20 of about 14,472 (309)
Properties of R0-algebra based on hesitant fuzzy MP filters and congruence relations
AIMS Mathematics, 2022 The hesitant fuzzy MP filter and the hesitant fuzzy congruence relation of algebra are introduced in this study, and their properties are investigated. The comparable characterization of a hesitant fuzzy MP filter is then provided.
Man Jiang
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Algebras satisfying congruence relations [PDF]
Proceedings of the American Mathematical Society, 1975 It is shown that the classical nonassociative algebras which have an identity element can be defined in terms of congruence relations modulo the base field.
Coughlin, Raymond +2 more
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Congruence Relations for Büchi Automata [PDF]
, 2021 We revisit here congruence relations for B chi automata, which play a central role in the automata-based verification. The size of the classical congruence relation is in $3^{\mathcal{O}(n^2)}$, where $n$ is the number of states of a given B chi automaton $\mathcal{A}$.
Yong Li +4 more
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AIMS Mathematics, 2021 In this paper, we establish the idea of fuzzy congruences on Abel-Grassmann's group (AG-group). We investigate different outcomes of fuzzy-congruences on AG-groups in detail and give some examples to illustrate the newly established results.
Aman Ullah +5 more
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Permutabitity of principal MS-algebras
AIMS Mathematics, 2023 In this paper, we continue to introduce new properties of principal $ MS $-algebras deal with congruence relations via $ MS $-congruence pairs. Necessary and sufficient conditions for a pair of congruences $ (\theta_{1}, \theta_{2})\in Con(L^{\circ\circ})
Abd El-Mohsen Badawy, Alaa Helmy
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Soft Congruence Relations over Rings [PDF]
The Scientific World Journal, 2014 Molodtsov introduced the concept of soft sets, which can be seen as a new mathematical tool for dealing with uncertainty. In this paper, we initiate the study of soft congruence relations by using the soft set theory. The notions of soft quotient rings, generalized soft ideals and generalized soft quotient rings, are introduced, and several related ...
Xiaolong Xin, Wenting Li
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THE LATTICE OF CONGRUENCES ON A TERNARY SEMIGROUP [PDF]
Journal of Algebraic Systems, 2018 In this paper we investigate some properties of congruences on ternary semigroups. We also define the notion of congruence on a ternary semigroup generated by a relation and we determine the method of obtaining a congruence on a ternary semigroup T from a
N. Ashrafi, Z. Yazdanmehr
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Congruence relations in direct products [PDF]
Proceedings of the American Mathematical Society, 1970 This paper studies conditions under which every congruence relation θ \theta in a direct product A × B A \times B of algebras is of the form θ 1 × θ 2 {\theta _1 ...
Fraser, Grant A., Horn, Alfred
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Frontiers in Psychology, 2021 Adolescent smartphone addiction has increasingly attracted the attention of scholars because of the widespread use of internet technology in educational environments.
Yang Li +8 more
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Extending congruence relations [PDF]
Proceedings of the American Mathematical Society, 1972 If A \mathfrak {A} and B \mathfrak {B} are algebras, where A ⊆ B \mathfrak {A} \subseteq \mathfrak {B} , and θ \theta is a congruence relation on A \mathfrak {A} , let
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