Results 171 to 180 of about 556,147 (204)
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A Theorem in Algebraic Topology
The Annals of Mathematics, 19481. The terminology and notations used in this paper are taken from Lefschetz's "Algebraic Topology".' This book will be referred to by the abbreviated title "L.A.T.", and will be used as the authority for such known results as are quoted in the course of the argument. The chief of these known results is the Alexander duality theorem, which is stated in
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Journal of Intelligent & Fuzzy Systems, 2019
In this paper, the notions of (semi) topological basic algebra and (semi) topological implication basic algebra are introduced, along with evaluating their properties. Then, different operations are defined based on basic algebras and the relationship between semicontinuity and continuity of operations is considered.
S. M. Ghasemi Nejad, Rajab Ali Borzooei
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In this paper, the notions of (semi) topological basic algebra and (semi) topological implication basic algebra are introduced, along with evaluating their properties. Then, different operations are defined based on basic algebras and the relationship between semicontinuity and continuity of operations is considered.
S. M. Ghasemi Nejad, Rajab Ali Borzooei
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2018
Summary: In this paper, by using a special family of filters \(\mathcal{F}\) on an EQ-algebra \(E\), we construct a topology \(\mathcal T_{\mathcal F}\) on \(E\) and show that \((E,\mathcal{T}_{\mathcal F})\) is a topological EQ-algebra. First of all, we give some properties of topological EQ-algebras and investigate the interaction of topological EQ ...
Yang, Jiang +2 more
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Summary: In this paper, by using a special family of filters \(\mathcal{F}\) on an EQ-algebra \(E\), we construct a topology \(\mathcal T_{\mathcal F}\) on \(E\) and show that \((E,\mathcal{T}_{\mathcal F})\) is a topological EQ-algebra. First of all, we give some properties of topological EQ-algebras and investigate the interaction of topological EQ ...
Yang, Jiang +2 more
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Infrasequential Topological Algebras
Canadian Mathematical Bulletin, 1979The notion of sequential topological algebra was introduced by this author and Ng [3], Among a number of results concerning these algebras, we showed that each multiplicative linear functional on a sequentially complete, sequential, locally convex algebra is bounded ([3], Theorem 1). From this it follows that every multiplicative linear functional on a
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Interior Algebras and Topology
1990In this thesis connections between categories of interior algebras and categories of topological spaces, and generalizations of topological concepts to interior algebras, are investigated. The following are some of the most significant results we obtain: The establishment of a duality between topological spaces and complete atomic interior algebras ...
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Journal of Graph Theory, 1986
There is given a brief survey of the possible transition of the theory of planar graphs from topology to algebra.
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There is given a brief survey of the possible transition of the theory of planar graphs from topology to algebra.
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ALGEBRAIC TOPOLOGY OF ALGEBRAIC VARIETIES
Russian Mathematical Surveys, 1965openaire +1 more source