Projective systemic modules
Commutative Algebra
2019-04-16 v2 Rings and Algebras
Abstract
We develop the basic theory of projective modules and splitting in the more general setting of systems. Systems provide a common language for most tropical algebraic approaches including supertropical algebra, hyperrings (specifically hyperfields), and fuzzy rings. This enables us to prove analogues of classical theorems for tropical and hyperring theory in a unified way. In this context we prove a Dual Basis Lemma and versions of Schanuel's Lemma.
Cite
@article{arxiv.1809.01996,
title = {Projective systemic modules},
author = {Jaiung Jun and Kalina Mincheva and Louis Rowen},
journal= {arXiv preprint arXiv:1809.01996},
year = {2019}
}
Comments
We changed the title and added more results