Results 231 to 240 of about 1,121,911 (262)

Regular and strongly regular relations induced by fuzzy subhypermodules

Soft Computing, 2022
Sohrab Ostadhadi-Dehkordi
exaly   +2 more sources

Strongly transitive geometric spaces on hypergroups from strongly U-regular relations

Journal of Algebra and Its Applications, 2021
In this paper, we determine a family [Formula: see text] of subsets of a hypergroup [Formula: see text] such that the geometric space [Formula: see text] is strongly transitive. We show that if [Formula: see text] is a hypergroup and [Formula: see text] is strongly regular relation then [Formula: see text] is an equivalence relation.
M. Shirvani, S. Mirvakili, B. Davvaz
openaire   +1 more source

Strongly Regular Relations Derived from Fundamental Relation

Journal of Algebraic Hyperstructures and Logical Algebras, 2023
We introduce a new regular relation δ on a given group G and show that δ is a congurence relation on G, with respect to module the commutator subgroup of G. Then we show that the effect of this relation on the fundamental relation β is equal to the fundamental relation γ, and we conclude that, if ρ is an arbitrary strongly regular relation on the ...
B. Afshar, R. Ameri
openaire   +1 more source

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 ...
Edwin R Van Dam
exaly   +4 more sources

Regular and strongly regular relations on soft hyperrings

Soft Computing, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Ostadhadi-Dehkordi, K. P. Shum
openaire   +2 more sources

Strongly regular relations of arithmetic functions

Journal of Number Theory, 2018
In this paper, the authors present a link between the theories of algebraic structures, hyperstructures and arithmetic functions and study the concepts of complete parts and strongly regular relations. Also, they present hyperstructures of arithmetic functions and determine their fundamental groups and fundamental rings. More precisely, they prove that
Al Tahan, M., Davvaz, B.
openaire   +2 more sources

(Fuzzy) strongly regular equivalence relations on semihypergroups

Journal of Intelligent & Fuzzy Systems, 2017
In this paper, we study the least strongly regular equivalence relation containing a given binary relation on a semihypergroup. Also, we discuss the least fuzzy strongly regular equivalence relation greater than or equal to a given fuzzy relation on a semihypergroup.
Gu, Ze, Tang, Xilin
openaire   +1 more source

Good strongly regular relations on weak \(\Gamma\)-(semi)hypergroups

2017
Summary: In this paper first we introduce the notion of weak \(\Gamma\)-(semi)hypergroups, next some classes of equivalence relations which are called good regular and strongly good regular relations are defined. Then we investigate some properties of this kind of relations on weak \(\Gamma\)-(semi)hypergroups.
Jafarpour, M., Aghabozorgi, H., Zare, T.
openaire   +2 more sources

Partitions of sets of two-fold triple systems, and their relation to some strongly regular graphs

Graphs and Combinatorics, 1995
A two-fold triple system (TTS) is a 2-\((v,k,2)\) design (and hence \(v \equiv 1\) or \(3 \pmod 6\)). An overlarge set of TTS, denoted by \(\text{OS(TTS} (v))\) is a set of \(v + 1\) mutually disjoint \(\text{TTS} (v)\) (i.e. they have no triple in common), each of them based on a different \(v\)-subset of a set \(X\) of cardinality \(v + 1\).
Mathon, R., Street, Anne Penfold
openaire   +1 more source

Strongly Regular J-Inner Matrix Functions and Related Problems

2004
A number of characterizations of the class of strongly regularDinner matrix-valued functions and descriptions of the corresponding reproducing kernel Hilbert spaces and formulas for the reproducing kernels of these spaces are reviewed. Applications to bitangential interpolation problems, bi-tangential inverse problems for canonical integral and ...
Damir Z. Arov, Dym Harry
openaire   +1 more source