Results 11 to 20 of about 156,262 (267)
On the joint continuity of module multiplication [PDF]
Proceedings of the Estonian Academy of Sciences, 2023 Let A be any topological algebra over R or C. We show that the property of a topological left (right or two-sided) A-module to have a jointly continuous action of A is inherited by submodules, quotient modules, completion, direct products, direct sums ...
Mart Abel
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Topological spectrum of elements in topological algebras; pp. 271–281 [PDF]
Proceedings of the Estonian Academy of Sciences, 2018 Properties of the sets of left, right, and two-sided topologically quasi-invertible elements, topological spectra, and topological spectral radii of elements in (not necessarily unital or commutative) topological algebras are studied.
Mati Abel +1 more
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Discussiones Mathematicae - General Algebra and Applications, 2019 In this paper, we introduce the notion of topological UP-algebras and several types of subsets of topological UP-algebras, and prove the generalization of these subsets. We also introduce the notions of quotient topological spaces of topological UP-algebras and topological UP-homomorphisms.
Satirad Akarachai, Iampan Aiyared
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On the topological product of galbed algebras [PDF]
Proceedings of the Estonian Academy of SciencesWe generalize some results about the topological product and the topological projective limit of galbed algebras. We also prove that the topological product is an (αn)-galbed algebra if and only if its each factor is an (αn)-galbed algebra.
Mart Abel
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Constructive algebraic topology
Bulletin des Sciences Mathématiques, 2002 The classical ``computation'' methods in Algebraic Topology most often work by means of highly infinite objects and in fact +are_not+ constructive. Typical examples are shown to describe the nature of the problem. The Rubio-Sergeraert solution for Constructive Algebraic Topology is recalled.
Rubio, J., Sergeraert, F.
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On the Wielandt and Bhatt-Dedania Theorems [PDF]
Al-Rafidain Journal of Computer Sciences and MathematicsIn this paper, we generalize a norm topology in Wielandt’s theorem for unital normed algebras and in Bhatt-Dedania’s theorem for Banach algebras, with each element being a zero topological divisor, by using 2-normed algebra and 2-Banach ...
Ekram Abdullah +2 more
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European Physical Journal C: Particles and Fields, 2022 We shed new light on the standard current algebra approach to the nonleptonic two-body decays of single and double heavy charm baryons. By making use of the completeness relation for the flavor wave functions of the ground state baryon $$\mathbf{20 ...
Stefan Groote, Jürgen G. Körner
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Weakly topologized algebras [PDF]
Proceedings of the American Mathematical Society, 1957 Let E be an algebra over the reals or complex numbers, E' a total subspace of the algebraic dual of E, o(E, E') the weak topology defined on E by E'. In Theorems 1 and 2 of [2], the author established necessary and sufficient conditions for E, equipped with topology o-(E, E'), to be a locally m-convex algebra and to be a topological algebra.
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Entropy and induced dynamics on state spaces [PDF]
, 2004 We consider the topological entropy of state space and quasi-state space homeomorphisms induced from C*-algebra automorphisms. Our main result asserts that, for automorphisms of separable exact C*-algebras, zero Voiculescu-Brown entropy implies zero ...
Kerr, David
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Double multipliers on topological algebras
International Journal of Mathematics and Mathematical Sciences, 1999 The main purpose of this paper is to investigate some topological properties of the double multiplier algebra on a topological algebra. Let Md(A) be the double multiplier algebra on a topological algebra A, and let u and s be the uniform and strong ...
L. A. Khan, N. Mohammad, A. B. Thaheem
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