Several results on exact sequences in categories of modules over trusses

TL;DR

This paper explores categorical properties of modules over trusses, specifically establishing fundamental lemmas like the snake and nine lemmas within this context.

Contribution

It formulates and proves the snake and nine lemmas for categories of modules over trusses, advancing the theoretical understanding of their categorical structure.

Findings

Snake lemma established for modules over trusses

Nine lemma formulated in the context of truss modules

Enhanced understanding of categorical properties of truss modules

Abstract

Categorical aspects of the theory of modules over trusses were studied in recent years. The snake lemma and the nine lemma in categories of modules over trusses are formulated in this paper.