Title of article
ON STRONGLY ASSOCIATIVE HYPERRINGS
Author/Authors
Arabpur ، Fatemeh - Vali-e-Asr University of Rafsanjan , Jafarpour ، Morteza - Vali-e-Asr University of Rafsanjan
Pages
14
From page
117
To page
130
Abstract
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 strongly hyperoperations in hyperring of series.
Journal title
Journal of Algebraic Systems
Serial Year
2019
Journal title
Journal of Algebraic Systems
Record number
2452631
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