Results 1 to 10 of about 2,005 (214)
Discussiones Mathematicae - General Algebra and Applications, 2023 Summary: The notion of strongly regular modules over a ring which is not necessarily commutative is introduced. The relation between \(F\)-regular, \(GF\)-regular and \(vn\)-regular modules that are defined over commutative rings and strongly regular module is obtained. We have shown that a remark that if \(R\) is a reduced ring, then the \(R\)-module \
Govindarajulu Narayanan Sudharshana +1 more
doaj +2 more sources
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 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
doaj +5 more sources
Strongly regular configurations [PDF]
Designs, Codes and Cryptography, 2022 23 pages, 1 figure.
Marién Abreu +3 more
openaire +6 more sources
Strongly walk-regular graphs [PDF]
Journal of Combinatorial Theory, Series A, 2013 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
Dam, E.R. van, Omidi, G.R.
openaire +3 more sources
Finite torsors over strongly $F$-regular singularities [PDF]
Épijournal de Géométrie Algébrique, 2022 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
doaj +1 more source
Relational representations of algebraic lattices and their applications
Open Mathematics, 2022 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
doaj +1 more source
Hamiltonian Strongly Regular Graphs [PDF]
SSRN Electronic Journal, 2008 We give a sufficient condition for a distance-regular graph to be Hamiltonian. In particular, the Petersen graph is the only connected non-Hamiltonian strongly regular graph on fewer than 99 vertices.
Brouwer, A.E., Haemers, W.H.
openaire +5 more sources
Al-Rafidain Journal of Computer Sciences and Mathematics, 2008 The main purpose of this paper is to study CS-rings. We give some properties of right CS-rings and the connection between such rings and reduced rings, regular rings, strongly regular rings, and S-weakly regular rings.
Anas Youns AL-Mashhdanny +1 more
doaj +1 more source
The Neutrosophic Regular and Most Important Properties that Bind Neutrosophic Ring Elements [PDF]
Neutrosophic Sets and Systems, 2023 This research has broadened the definition of the neutrosophic regular in neutrosophic rings, similar to what is known in classical rings. We have studied the properties of neutrosophic regular elements and the most important properties that link them to
Murhaf Riad Alabdullah
doaj +1 more source
Al-Rafidain Journal of Computer Sciences and Mathematics, 2004 A ring R is called a right dual ring if rl(T) = T for all right ideals T of R. The main purpose of this paper is to develop some basic properties of dual rings and to give the connection between dual rings, regular rings and strongly regular rings.
Nazar Shuker, Rani Younis
doaj +1 more source