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

M. Anbarloei

$n$ -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.