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In this article, we introduce the notion of strongly π-regular module which is a generalization of von Neumann regular module in the sense [13]. Let A be a commutative ring with 1≠0 and X a multiplication A-module. X is called a strongly π-regular module
Suat Koç
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Strongly walk-regular graphs [PDF]
We study a generalization of strongly regular graphs. We call a graph strongly walk-regular if there is an $\ell >1$ such that the number of walks of length $\ell$ from a vertex to another vertex depends only on whether the two vertices are the same, adjacent, or not adjacent. We will show that a strongly walk-regular graph must be an empty graph, a
G R Omidi, E R Van Dam
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Strongly regular relations on regular hypergroups [PDF]
Hypergroups that have at least one identity element and where each element has at least one inverse are called regular hypergroup. In this regards, for a regular hypergroup $H$, it is shown that there exists a correspondence between the set of all ...
Reza Ameri, Behnam Afshar
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Strongly regular configurations [PDF]
23 pages, 1 figure.
Marién Abreu +3 more
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Finite torsors over strongly $F$-regular singularities [PDF]
We investigate finite torsors over big opens of spectra of strongly $F$-regular germs that do not extend to torsors over the whole spectrum. Let $(R,\mathfrak{m},k)$ be a strongly $F$-regular $k$-germ where $k$ is an algebraically closed field of ...
Javier Carvajal-Rojas
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Spreads in Strongly Regular Graphs [PDF]
A spread in any geometry is a set of pairwise disjoint lines that cover all the points. For a partial geometry the point graph (collinearity graph) is strongly regular. Delsarte showed that a clique in a strongly regular graph has at most \(K = 1 - k/s\) vertices, where \(k\) and \(s\) are the largest and smallest eigenvalues of the graph respectively.
Willem H. Haemers, Vladimir D. Tonchev
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Relational representations of algebraic lattices and their applications
In this paper, we define the concepts of strongly regular relation, finitely strongly regular relation, and generalized finitely strongly regular relation, and get the relational representations of strongly algebraic, hyperalgebraic, and quasi ...
Luo Shuzhen, Xu Xiaoquan
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On Strongly – Regular Rings [PDF]
The main goal of the work is to study a strongly -regular rings, which was introduce by Mohammad A. J. and Salih. S. M. in (2006). That is, a ring R is said to be strongly -regular if for every a R there exists bR and a positive integer n≠1 such ...
Baida S. Abdullah
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ON DISTANCE–REGULAR GRAPHS OF DIAMETER 3 WITH EIGENVALUE \(\theta=1\)
For a distance-regular graph \(\Gamma\) of diameter 3, the graph \(\Gamma_i\) can be strongly regular for \(i=2\) or 3. J.Kulen and co-authors found the parameters of a strongly regular graph \(\Gamma_2\) given the intersection array of the graph ...
Alexander A. Makhnev +2 more
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On the Integrability of Strongly Regular Graphs [PDF]
Koolen et al. showed that if a connected graph with smallest eigenvalue at least $-3$ has large minimal valency, then it is $2$-integrable. In this paper, we will prove that a lower bound for the minimal valency is 166.
Jack H. Koolen +2 more
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