Results 231 to 240 of about 1,088,616 (274)

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

open access: closedGraphs 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 \(v + 1\).
Rudolf Mathon, Anne Street
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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
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Regular and strongly regular relations on soft hyperrings

Soft Computing, 2019
Soft set theory, introduced by Molodtsov, has been considered as an effective mathematical tool for modeling uncertainties, and soft hyperrings can be regarded as a generalization of soft rings. The motivation for such an investigation is to generalize the concept of quotient soft hyperrings and isomorphism theorems.
S. Ostadhadi-Dehkordi, K. P. Shum
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Strongly regular relations of arithmetic functions

Journal of Number Theory, 2018
Abstract A simple, but very useful concept in number theory is that of an arithmetic function. On the other hand, hyperstructure theory, first introduced by Marty, is a generalization of group theory and it is connected to different fields of mathematics.
M. Al Tahan, Bijan Davvaz
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(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.
Xilin Tang, Ze Gu
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