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On (semi)topology L-algebras [PDF]
Categories and General Algebraic Structures with Applications, 2023 Here, we define (semi)topological L-algebras and some related results are approved. Then we deduce conditions that mention an L-algebra to be a semi-topological or a topological L-algebra and we check some attributes of them.
Mona Aaly Kologani
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Schneider-Teitelbaum duality for locally profinite groups [PDF]
Categories and General Algebraic Structures with Applications, 2021 We define monoidal structures on several categories of linear topological modules over the valuation ring of a local field, and study module theory with respect to the monoidal structures.
Tomoki Mihara
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Mackey Q-algebras; pp. 40–53 [PDF]
Proceedings of the Estonian Academy of Sciences, 2017 Main properties of the topology defined by a bornology on a topological linear space and main properties of Mackey Q-algebras are presented. Relationships of Mackey Q-algebras with other classes of topological algebras are described.
Mati Abel
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On non-unital locally pseudoconvex Q-algebras; pp. 324–332 [PDF]
Proceedings of the Estonian Academy of Sciences, 2019 Some equivalent conditions for a topological algebra to be a Q-algebra have been studied by several researchers. They have studied Q-algebras, mainly for unital topological algebras.
Reyna María Pérez Tiscareño
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APPROXIMATE IDENTITY IN CLOSED CODIMENSION ONE IDEALS OF SEMIGROUP ALGEBRAS [PDF]
Journal of Algebraic Systems, 2014 Let S be a locally compact topological foundation semigroup with identity and Ma(S) be its semigroup algebra. In this paper, we give necessary and sufficient conditions to have abounded approximate identity in closed codimension one ideals of the ...
bharam Mohammadzadeh
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Structure of deformed w1+∞ symmetry and topological generalization in Celestial CFT
Physics Letters B, 2023 We investigate a deformation of w1+∞ algebra recently introduced in [1] in the context of Celestial CFT that we denote by W˜1+∞ algebra. We obtain the operator product expansions of the generating currents of this algebra and explore its supersymmetric ...
Pavel Drozdov, Taro Kimura
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Intertwining operator and integrable hierarchies from topological strings
Journal of High Energy Physics, 2021 In [1], Nakatsu and Takasaki have shown that the melting crystal model behind the topological strings vertex provides a tau-function of the KP hierarchy after an appropriate time deformation.
Jean-Emile Bourgine
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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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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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