Open AccessHopkins-Levitzki theorem for Krasner hyperrings
Author(s) -
S. Ostadhadi-Dehkordi,
K. P. Shum
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2115963o
Subject(s) - mathematics , noetherian , noncommutative geometry , prime (order theory) , pure mathematics , discrete mathematics , algebra over a field , combinatorics
In this paper, our aim is to generalize and extend the Hopkins-Levitzki theorem from noncommutative rings to Krasner hyperring. Also, we prove that a Krasner hyperring R is Noetherian if and only if it satisfies the ascending chain conditions of prime hyperideals.