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- W3021159071 abstract "In the theory of semihypergroups, fundamental relations make a connection between semihyperrings and ordinary semigroups. Indeed, fundamental relations are a special kind of strongly regular relations and they are important in the theory of algebraic hyperstructures. The fundamental relation β*, which is the transitive closure of the relation β, was introduced on semihypergroups by Koskas and was studied by Corsini, Davvaz, Freni, Leoreanu-Fotea, Vougiouklis, and many others. The commutative fundamental relation α*, which is the transitive closure of the relation α, was studied on semihypergroups by Freni. In this chapter, we investigate the properties of fundamental relations on semihypergroups. In particular, we present the transitivity condition of the relation β in a semihypergroup." @default.
- W3021159071 created "2020-05-13" @default.
- W3021159071 creator A5012148158 @default.
- W3021159071 date "2016-01-01" @default.
- W3021159071 modified "2023-09-27" @default.
- W3021159071 title "Fundamental Relations" @default.
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- W3021159071 doi "https://doi.org/10.1016/b978-0-12-809815-8.00004-8" @default.
- W3021159071 hasPublicationYear "2016" @default.
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