Weakly S-prime hyperideals

‎‎The purpose of this paper is presenting a new expansion class, namely weakly ‎‎n‎‎-ary ‎‎S‎‎-prime hyperideals in Krasner ‎‎(m,n)‎‎-hyperrings. In summary, we give an extension of ‎‎‎n-ary ‎S‎‎-prime hyperideals. Some results and examples are given to explain the structure of this new concept. Moreover, a version of Nakayama‎‎^,‎‎s Lemma is considered on commutative Krasner ‎‎(m,n)‎‎-hyperrings. ‎

کلیدواژه ها:

n-ary multiplicative set‎ ، ‎weakly n-ary S-prime hyperideal‎ ، ‎strongly weakly n-ary S-prime hyperideal