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Author: Thomasey, Douglas H (1)	28 Mar 2025	Run
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articleNo Access
On partitioning ideals of $(m, n)$ -semirings
- J. N. Chaudhari,
- Harish Nemade, and
- Bijan Davvaz
Asian-European Journal of Mathematics03 Nov 2021
Preview Abstract
In this paper, we prove that if $I$ is a partitioning ideal of an $(m, n)$ -semiring $R$ with respect to two subsets $Q_{1}$ and $Q_{2}$ of $R$ , then the quotient $(m, n)$ -semirings $R / I_{(Q_{1})}$ and $R / I_{(Q_{2})}$ are isomorphic. Also, the concepts of maximal homomorphism, steady homomorphism, one-one homomorphism and $N$ -homomorphism are generalized for $(m, n)$ -semirings and obtained relation between them. Finally, the fundamental theorem of semiring homomorphism is generalized for $(m, n)$ -semirings.

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