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A type of strongly regular rings
Journal of Intelligent & Fuzzy Systems, 2015In this study, using Yuan and Lee’s definition of fuzzy group based on fuzzy binary operation and Aktas and Cagman definition of fuzzy ring, we give a new kind of definition to ( A : B ).
B. Sambathkumar +2 more
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Strongly Regular Generalized Equations
Mathematics of Operations Research, 1980This paper considers generalized equations, which are convenient tools for formulating problems in complementarity and in mathematical programming, as well as variational inequalities. We introduce a regularity condition for such problems and, with its help, prove existence, uniqueness and Lipschitz continuity of solutions to generalized equations ...
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On strongly regular signed graphs
Discrete Applied Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Regular and strongly regular relations on soft hyperrings
Soft Computing, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Ostadhadi-Dehkordi, Kar Ping Shum
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A Generalization of Strongly Regular Graphs
Southeast Asian Bulletin of Mathematics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deza, Michel, Huang, Tayuan
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Strongly regular vertices and partially strongly regular graphs.
Ars Comb., 2004Summary: A strongly regular vertex with parameters \((\lambda,\mu)\) in a graph is a vertex \(x\) such that the number of neighbors any other vertex \(y\) has in common with \(x\) is \(\lambda\) if \(y\) is adjacent to \(x\), and is \(\mu\) if \(y\) is not adjacent to \(x\).
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On Regular, Strongly Regular Congruences on Ordered Semigroups
SemiGroup Forum, 2000If \((S,\cdot,\leq)\) is a partially ordered (p.o.) semigroup and \(\rho\) is a congruence on \((S,\cdot)\), then, in general, the quotient semigroup \((S/\rho,*)\) does not inherit from \((S,\leq)\) a nontrivial partial order \(\preceq\) such that \((S/\rho,*,\preceq)\) forms again a p.o. semigroup.
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Some Remarks on Regular and Strongly Regular Rings
Canadian Mathematical Bulletin, 1975This article presents some new algebraic and module theoretic characterizations of strongly regular rings. The latter uses Lambek’s notion of symmetry. Strongly regular rings are shown to admit an involution and form an equational category. An example due to Paré shows that the category of regular rings and ring homomorphisms between them is not ...
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A Minimal Regular Space that is Not Strongly Minimal Regular
Canadian Journal of Mathematics, 1976A regular T1 space is said to be R-closed if there is no regular T1 space in which it can be embedded as a nonclosed subspace. A regular T1 space is said to be minimal regular if no regular T1 topology on the underlying set is strictly weaker than the given topology. It is known (see [1, Theorem 4, p. 455]) that every minimal regular space is R-closed.
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Star complementary strongly regular decompositions of strongly regular graphs
Linear and Multilinear Algebra, 2019In this paper we consider strongly regular graphs G which admit a decomposition into two strongly regular graphs such that one of them, say H, is a star complement of G.
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