English

A topos-theoretic view of difference algebra

Algebraic Geometry 2020-01-27 v1 Category Theory

Abstract

We view difference algebra as the study of algebraic objects in the topos of difference sets. The methods of topos theory and categorical logic enable us to develop difference homological algebra, identify a solid foundation for difference algebraic geometry, and cohomology theory of difference schemes.

Keywords

Cite

@article{arxiv.2001.09075,
  title  = {A topos-theoretic view of difference algebra},
  author = {Ivan Tomasic},
  journal= {arXiv preprint arXiv:2001.09075},
  year   = {2020}
}
R2 v1 2026-06-23T13:20:00.539Z