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Some results on commutative BI-Algebras [PDF]
Journal of Mahani Mathematical Research, 2023 The notion of a (branchwise) commutative $BI$-algebra is presented, and some related properties are investigated. We show that the class of commutative $BH$-algebras is broader than the class of commutative $BI$-algebras.
Akefe Radfar +2 more
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Generalized derivations and generalized exponential monomials on hypergroups [PDF]
Opuscula Mathematica, 2023 In one of our former papers "Endomorphisms of the measure algebra of commutative hypergroups" we considered exponential monomials on hypergroups and higher order derivations of the corresponding measure algebra.
Żywilla Fechner +2 more
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New Type of Soft (Prime) Ideals in Commutative BCK-Algebras [PDF]
Jisuanji kexue yu tansuo, 2022 The soft set theory is an important mathematical tool for dealing with uncertainty. By endowing a par-ameter set as a commutative BCK-algebra (that is commutative weak-BCI-algebra), the notions of a new type of soft prime ideals, annihilators of soft ...
HUANG Yu, LIAO Zuhua
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Engel BCI-algebras: an application of left and right commutators [PDF]
Mathematica Bohemica, 2021 We introduce Engel elements in a BCI-algebra by using left and right normed commutators, and some properties of these elements are studied. The notion of $n$-Engel BCI-algebra as a natural generalization of commutative BCI-algebras is introduced, and we ...
Ardavan Najafi, Arsham Borumand Saeid
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Infinite symmetric products of rational algebras and spaces
Comptes Rendus. Mathématique, 2022 We show that the infinite symmetric product of a connected graded-commutative algebra over $\mathbb{Q}$ is naturally isomorphic to the free graded-commutative algebra on the positive degree subspace of the original algebra.
Hu, Jiahao, Milivojević, Aleksandar
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Reticulation of Quasi-commutative Algebras [PDF]
Journal of Mahani Mathematical Research, 2023 The commutator theory, developed by Fresee and McKenzie in the framework of a congruence-modular variety $\mathcal{V}$, allows us to define the prime congruences of any algebra $A\in \mathcal{V}$ and the prime spectrum $Spec(A)$ of $A$.
G. Georgescu
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Filters in Strong BI-Algebras and Residuated Pseudo-SBI-Algebras
Mathematics, 2020 The concept of basic implication algebra (BI-algebra) has been proposed to describe general non-classical implicative logics (such as associative or non-associative fuzzy logic, commutative or non-commutative fuzzy logic, quantum logic).
Xiaohong Zhang, Xiangyu Ma, Xuejiao Wang
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Journal of Mathematics, 2021 The concepts of (commutative, transitive, left exchangeable, belligerent, antisymmetric) interior GE-algebras and bordered interior GE-algebras are introduced, and their relations and properties are investigated.
Jeong-Gon Lee +3 more
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On a Graph Associated to UP-Algebras
Mathematical and Computational Applications, 2018 In this article, we introduce the concept of graphs associated with commutative UP-algebra, which we say is a UP-graph whose vertices are the elements of commutative UP-algebra and whose edges are the association of two vertices, that is two elements ...
Moin A. Ansari +2 more
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Invariants in Non-Commutative Variables of the Symmetric and Hyperoctahedral Groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We consider the graded Hopf algebra $NCSym$ of symmetric functions with non-commutative variables, which is analogous to the algebra $Sym$ of the ordinary symmetric functions in commutative variables.
Anouk Bergeron-Brlek
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