@article{Ayutthaya2022, 
author = {Pakorn Palakawong na Ayutthaya and Bundit Pibaljommee},
title = {On    n-ary ring congruences of    n-ary semirings},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {10},
pages = {18553-18564},
keywords = {n-ary ring, n-ary semiring, ring congruence, k-ideal, h-ideal},
url = {https://www.sciopen.com/article/10.3934/math.20221019},
doi = {10.3934/math.20221019},
abstract = {In universal algebra, it is well-known that if    S is an algebraic structure, then the kind of algebraic structure of    S      /    ρ is similar to    S where    ρ is a congruence relation on    S. In this work, we study the notion of a full    k-ideal    A of an    n-ary semiring    S and construct a congruence relation    ρ on    S with respect to the full    k-ideal    A in order to make the quotient    n-ary semiring    S      /    ρ to be an    n-ary ring. Moreover, the notion of an    h-ideal of an    n-ary semiring was studied and connections between an    h-ideal and a    k-ideal of an    n-ary semiring were investigated.}
}