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 strongly hyperoperations in hyperring of series.

Keywords:

‎Strongly associative hyperoperation‎ , ‎SDIS hyperring‎ , ‎Krasner hyperring‎ , ‎totally hyperring‎ , ‎hyperring of series‎

Authors

Fatemeh Arabpur

Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.

Morteza Jafarpour

Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.

Certificate
من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

https://civilica.com/doc/893177

شناسه ملی سند علمی:

JR_JAS-6-2_004

تاریخ نمایه سازی: 18 تیر 1398

How to Cite to This Paper:

If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:

Arabpur, Fatemeh and Jafarpour, Morteza,1398,ON STRONGLY ASSOCIATIVE HYPERRINGS,https://civilica.com/doc/893177

Scientometrics

The specifications of the publisher center of this Paper are as follows:

Ranking of Vali-e-asr University of Rafsanjan

Type of center: دانشگاه دولتی

Paper count: 4,063

In the scientometrics section of CIVILICA, you can see the scientific ranking of the Iranian academic and research centers based on the statistics of indexed articles.