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$r$-Subhypermodules over Krasner hypermodules

Carpathian Mathematical Publications
In this study, we introduce the notion of $r$-subhypermodule of an $\mathcal{R}$-hypermodule, where $\mathcal{R}$ is a commutative Krasner hyperring. A proper subhypermodule $N$ of $M$ is said to be an $r$-subhypermodule if $a\cdot m\in N$ with $ann_{M ...
M. Bolat   +4 more
semanticscholar   +1 more source

Generalized transformation semigroups admitting hyperring structure


A semigroup S is said to admit a hyperring structure if there exists a hyperoperation + on S[superscript 0] such that (S[superscript 0], +, .) is a (Krasner) hyperring where . is the operation of S[superscript 0].
Noknoi Rompurk
semanticscholar   +1 more source

Some properties of hypermodules over Krasner hyperrings

A system (R,+,.) is said to be a Krasner hyperring if (i) (R,+) is a canonical hypergroup, (ii) (R,.) is a semigroup with zero 0 where 0 is the scalar identity of (R,+) and (iii) x.(y+z)=x.y+x.z and (y+z).x=y.x+z.x for all x,y,z [is an element of a set] R.
openaire   +1 more source

r-Subhypermodules on Krasner Hyperrings

2021
Ersoy, Bayram Ali   +3 more
openaire   +1 more source

δ-Primary Subhypermodules on Krasner Hyperrings

2021
Ersoy, Bayram Ali   +3 more
openaire   +1 more source

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