Geodesic
Hopkins-levitzki theorem for Krasner hyperrings
Filomat, Tome 35 (2021) no. 15, p. 4963

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DOI

In this paper, our aim is to generalize and extend the Hopkins-Levitzki theorem from non-commutative 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
DOI : 10.2298/FIL2115963O
Classification : 13E05, 13E10, 16Y99
Keywords: Noetherian(Artinian) hyperring, regular relation, strongly regular relation, complete part 
S Ostadhadi-Dehkordi; K P Shum. Hopkins-levitzki theorem for Krasner hyperrings. Filomat, Tome 35 (2021) no. 15, p. 4963 . doi: 10.2298/FIL2115963O
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     author = {S Ostadhadi-Dehkordi and K P Shum},
     title = {Hopkins-levitzki theorem for {Krasner} hyperrings},
     journal = {Filomat},
     pages = {4963 },
     year = {2021},
     volume = {35},
     number = {15},
     doi = {10.2298/FIL2115963O},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2115963O/}
}
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