English

Homology of systemic modules

Rings and Algebras 2020-05-28 v2 Commutative Algebra K-Theory and Homology

Abstract

We develop the rudiments of a tropical homology theory, based on "triples" and "systems." Results include a version of Schanuel's lemma, projective dimension, the homology semi-module, and a weak Snake lemma.

Keywords

Cite

@article{arxiv.2005.12760,
  title  = {Homology of systemic modules},
  author = {Jaiung Jun and Kalina Mincheva and Louis Rowen},
  journal= {arXiv preprint arXiv:2005.12760},
  year   = {2020}
}
R2 v1 2026-06-23T15:49:23.822Z