Fatemeh Arabpur
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
[ 1 ] - ON STRONGLY ASSOCIATIVE HYPERRINGS
This paper generalizes the idea of strongly associative hyperoperation introduced in [7] to the class of hyperrings. We introduce and investigate hyperrings of type 1, type 2 and SDIS. Moreover, we study some examples of these hyperrings and give a new kind of hyperrings called totally hyperrings. Totally hyperrings give us a characterization of Krasner hyperrings. Also, we investigate these ...
[ 2 ] - On Strongly $H_{v}$-groups
The largest class of hyperstructures is the one which satisfies the weak properties; these are called $H_{v}$-structures. In this paper we introduce a special product of elements in $H_{v}$-group $H$ and define a new class of $H_{v}$-groups called strongly $H_{v}$-groups. Then we show that in strongly $H_{v}$-groups $beta=beta^{ast}$. Also we express $theta$-hyperoperation and investigat...
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