Results 21 to 30 of about 990,705 (257)
Solutions of Yang–Baxter Equation of Mock-Lie Algebras and Related Rota Baxter Algebras
Computer Sciences & Mathematics Forum, 2023 This paper discusses the relationship between Mock-Lie algebras, Lie algebras, and Jordan algebras. It highlights the importance of the Yang–Baxter equation and symplectic forms in the study of integrable systems, quantum groups, and topological quantum ...
Amir Baklouti
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About pushouts in the category φ(B) of Segal topological algebras; pp. 319–323 [PDF]
Proceedings of the Estonian Academy of Sciences, 2019 In this paper, we answer positively the open question, posed in [2], about the existence of pushouts in the category Ï(B) of Segal topological algebras.
Mart Abel
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Constructing new Segal topological algebras from existing ones [PDF]
Proceedings of the Estonian Academy of SciencesIn this paper, we examine the properties of Segal topological algebras, looking at ways to construct new objects from existing ones. Equipped with the example of algebras (in the sense of vector spaces equipped with multiplication), we consider two ...
René Piik, Mart Abel
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Isomorphisms of some algebras of analytic functions of bounded type on Banach spaces
Математичні Студії, 2021 The theory of analytic functions is an important section of nonlinear functional analysis. In many modern investigations topological algebras of analytic functions and spectra of such algebras are studied.
S.I. Halushchak
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ABOUT SOME CATEGORIES OF SEGAL TOPOLOGICAL ALGEBRAS
Poincare journal of analysis and applications, 2019 We will construct two categories of Segal topological algebras and prove some of their categorical properties. We will show that several properties known for categories (of sets, for example) have analogues in the category S (B) of Segal topological ...
M. Abel
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Strict Topologies as Topological Algebras [PDF]
Czechoslovak Mathematical Journal, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A topology on categorical algebras
Filomat, 2022 On categorical algebras, we define an idempotent filter as an analogous version of Gabriel?s. We also construct topologies on 2-crossed modules of algebras and categorical algebras.
Ulualan, Erdal, Yılmaz, Koray
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Nucleus topology in equality algebras [PDF]
Categories and General Algebraic Structures with ApplicationsIn this paper, we define the concept of nucleus map on equality algebras and study related results. Then, using this concept and upsets, a topology on equality algebras is constructed and it is shown that the equality algebra with this topology becomes a
Sogol Niazian +2 more
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An application of computer algebra to algebraic topology
International Journal of Computer Mathematics, 1990 In this work we study a certain formal power series that is of considerable interest to algebraic topologists, the [p k ]-series. We define the series in a purely combinatorial way and indicate its usefulness. Then, by using computer algebra techniques, we compute it up to a high coefficient.
Glinos, N., Nakos, G.
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On a class of topological algebras [PDF]
Pacific Journal of Mathematics, 1970 A locally convex algebra \(A\) is \(A\)-convex if the topology for \(A\) is defined by a family of seminorms such that for each seminorm \(p\) and each \(y\) in \(A\), there is a real number \(M\) for which \(p(yx) \leq M p(x)\) and \(p(xy) \leq M p(x)\) for all \(x\) in \(A\). A locally \(m\)-convex algebra is an \(A\)-convex algebra.
Cochran, A. C. +2 more
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