Results 1 to 10 of about 1,658 (196)
Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
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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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Commutative and Bounded BE-algebras [PDF]
Algebra, 2013 Summary: We introduce the notions of the commutative and bounded BE-Algebras. We give some related properties of them.
Zekiye Çiloğlu, Yılmaz Çeven
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LEFT ABSORBING HYPER K-ALGEBRAS [PDF]
Journal of Algebraic Systems, 2021 In the present manuscript, we introduce a type of hyper K-algebra which is called left absorbing hyper K-algebra and investigate some of the related properties. We also show that set of all types of positive implicative and commutative hyper K-ideal form
S. Madadi, M. A. Nasr-Azadani
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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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