We characterize injective semimodules, Baer injective semimodules, z-injective semirings, z-extensive ideals and θ_t-θ_t-extensive subsemimodules. We also study relationships between z-extensive ideals, θ_t-extensive subsemimodules and their annihilators.

zero-sum semiring, injective semimodule, Baer injective semimodule, z-extensive ideal, z-injective semiring.

Received: December 26, 2022; Revised: April 14, 2023; Accepted: May 10, 2023; Published: May 23, 2024

How to cite this article: Lamine Ngom, Mame Demba Cisse, Landing Fall and Jean Raoul Tsiba, On extensive subsemimodules over zero-sum semirings, JP Journal of Algebra, Number Theory and Applications 63(4) (2024), 313-327. https://doi.org/10.17654/0972555524019

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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