Many notions in modules theory have different generalizations in the theory of semimodules.

In the first part to this paper, we study coclosed and subtractive subsemimodules and obtain some proprieties of T-semimodules.

In the second part, we introduce the notion of small M-a-projective semimodules and characterize them in the category of subtractive semimodules over zero-sum semirings.

subtractive semimodule, zero-sum semiring, coclosed subsemimodule, amply supplemented, T-semimodule, relative projectivity, small M-a-projectivity.

Received: September 7, 2022; Revised: December 24, 2022; Accepted: March 10, 2023; Published: May 25, 2023

How to cite this article: Moussa Sall, Mamadou Barry and Landing Fall, On small subtractive and projective semimodules over zero-sum semiring, JP Journal of Algebra, Number Theory and Applications 61(2) (2023), 117-134. http://dx.doi.org/10.17654/0972555523014

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

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