The γ*-relation defined on a general hyperring R is the smallest strongly regular relation such that the quotient R/γ* is a ring. In this note we consider a particular class of hyperrings, where we define a new equivalence, called [...] εm∗ , smaller than γ* and we prove it is the smallest strongly regular relation on such hyperrings such that the quotient R/ [...] εm∗ is a ring. Moreover, we introduce the concept of m-idempotent hyperrings, show that they are a characterization for Krasner hyperfields, and that [...] εm∗ is a new exhibition for γ* on the above mentioned subclass of m-idempotent hyperrings.
@article{bwmeta1.element.doi-10_1515_math-2017-0128,
author = {Morteza Norouzi and Irina Cristea},
title = {Fundamental relation onm-idempotent hyperrings},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {1558-1567},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0128}
}
Morteza Norouzi; Irina Cristea. Fundamental relation onm-idempotent hyperrings. Open Mathematics, Tome 15 (2017) pp. 1558-1567. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0128/