$n$-ARY 2-ABSORBING AND 2-ABSORBING PRIMARY HYPERIDEALS IN KRASNER $(m,n)$-HYPERRINGS

Authors

  • M. Anbarloei Department of Mathematics, Faculty of Sciences, Imam Khomeini International University, Qazvin, Iran Author

Keywords:

$n$-ary prime hyperideal, $n$-ary 2-absorbing hyperideal, $n$-ary 2-absorbing primary hyperideal, Krasner $(m, n)$-hyperring

Subjects:

16Y99

Abstract

Let $R$ be a commutative Krasner $(m,n)$-hyperring with the scalar identity $1_R$. In this paper, we introduce and study the concept of $n$-ary 2-absorbing and 2-absorbing primary hyperideals of $R$. These concepts are a generalisation of $n$-ary prime and primary hyperideals.

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Published

2019-07-15

Issue

Vol. 71 No. 3 (2019): Vol. 71, Issue 3

Section

Articles

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Copyright (c) 2019 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.