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math.RAMay 27, 2020
1
citations (OpenAlex)
authors
  • Jaiung Jun
  • Kalina Mincheva
  • Louis Rowen
institutions
  • Bar-Ilan University
  • SUNY New Paltz
  • Tulane University
arXiv abstractPDF
paper

Homology of systemic modules

arXiv:2005.12760

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.

References in corpus (3)

  • On exactness of long sequences of homology semimodules
  • Homological algebra in characteristic one
  • An introduction to Noncommutative Projective Geometry
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