Results 21 to 30 of about 17,832 (254)
Fuzzy Fixed Point Results in Convex C∗-Algebra-Valued Metric Spaces
Journal of Function Spaces, 2022 The purpose of this note is to come up with some new directions in fuzzy fixed point theory. To this effect, notions of a C∗-algebra-valued fuzzy λ-contraction and related concepts in a convex C∗-algebra-valued metric space (C∗-AVMS) are set-up.
Mohammed Shehu Shagari +3 more
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Korean Journal of Mathematics, 2016 Summary: The concept of derivations of BCI-algebras was first introduced by Jun and Xin. In this paper, we introduce the notions of \((l,r)\)-derivations, \((r,l)\)-derivations and derivations of UP-algebras and investigate some related properties. In addition, we define two subsets \(\mathrm{Ker}_d(A)\) and \(\mathrm{Fix}_d(A)\) for some derivation ...
Sawika, Kaewta +3 more
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European Journal of Pure and Applied Mathematics, 2020 Using the concept of a neutrosophic quadruple number to a fuzzy duplex number, we introduce the notion of a fuzzy duplex UP-algebra, and investigate some related properties. Also, we find the necessary condition for a fuzzy duplex UP-set to be a fuzzy duplex UP-algebra. Furthermore, we study the relationship between special subsets of a UP-algebra ...
Aiyared Iampan +2 more
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A new branch of bialgebraic structures: UP-bialgebras
Journal of Taibah University for Science, 2019 The notion of bialgebraic structures was discussed by Vasantha Kandasamy [Bialgebraic structures and Smarandache bialgebraic structures. India: American Research Press; 2003]. The main target of this paper is to introduce the notions of a KU-bialgebra, a
Phakawat Mosrijai, Aiyared Iampan
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Reversible skew laurent polynomial rings and deformations of poisson automorphisms [PDF]
, 2009 A skew Laurent polynomial ring S = R[x(+/- 1); alpha] is reversible if it has a reversing automorphism, that is, an automorphism theta of period 2 that transposes x and x(-1) and restricts to an automorphism gamma of R with gamma = gamma(-1).
DAVID A. JORDAN +7 more
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An algebra of observables for de Sitter space
Journal of High Energy Physics, 2023 We describe an algebra of observables for a static patch in de Sitter space, with operators gravitationally dressed to the worldline of an observer. The algebra is a von Neumann algebra of Type II1.
Venkatesa Chandrasekaran +3 more
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Introducing Partial Transformation UP-Algebras
European Journal of Pure and Applied Mathematics, 2018 The main aim of this paper is to introduce the notion of a partial transformation UP-algebra $P(X)$ induced by a UP-algebra $X$ and prove that the set of all full transformations $T(X)$ is a UP-ideal of $P(X)$.
Aiyared Iampan +2 more
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Isomorphisms of Nonnoetherian Down-Up Algebras [PDF]
Algebras and Representation Theory, 2017 10 ...
Sergio Chouhy, Andrea Solotar
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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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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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