Results 211 to 220 of about 111,506 (251)

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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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
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Regular and strongly regular relations on soft hyperrings

Soft Computing, 2019
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S. Ostadhadi-Dehkordi, K. P. Shum
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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.
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Rings derived from strongly $$\mathcal {U}$$ U -regular relations

Boletín de la Sociedad Matemática Mexicana, 2017
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Mirvakili, S., Anvariyeh, S. M., Davvaz, B.   +2 more
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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.
Gu, Ze, Tang, Xilin
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