ON EXTENSIVE SUBSEMIMODULES OVER ZERO-SUM SEMIRINGS
DOI:
https://doi.org/10.17654/0972555524019Abstract
We characterize injective semimodules, Baer injective semimodules, $z$-injective semirings, $z$-extensive ideals and $\theta_t-\theta_t$-extensive subsemimodules. We also study relationships between $z$-extensive ideals, $\theta_t$-extensive subsemimodules and their annihilators.
Received: December 26, 2022
Revised: April 14, 2023
Accepted: May 10, 2023
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