A GENERALIZATION OF PRIME HYPERIDEALS IN KRASNER HYPERRINGS

Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_JAS-7-2_008

تاریخ نمایه سازی: 18 آذر 1398

Abstract:

In this paper, ‎we extend the notion of 2-absorbing ideal on rings to Krasner hyperrings. In fact, we give a characterization of new generalization of prime hyperideals in Krasner hyperrings by introducing 2-absorbing hyperideals‎. ‎We present some illustrative examples. Also, we study fundamental properties of 2-absorbing hyperideals on Krasner hyperrings and investigate some related results.

Authors

L. Kamali Ardekani

Faculty of Engineering, Ardakan University, P.O. Box ۱۸۴, Ardakan, Iran.

B. Davvaz

Department of Mathematics, Yazd University, Yazd, Iran.