English

On functors preserving projective resolutions

Rings and Algebras 2021-07-27 v1 Category Theory Representation Theory

Abstract

It is important for applications of Homological Algebra in Representation Theory to have control over the behaviour of (minimal) projective resolutions under various functors. In this article we describe three broad families of functors that preserve such resolutions. We will use these results in our work on Representation Theory of Schur algebras.

Keywords

Cite

@article{arxiv.2107.12241,
  title  = {On functors preserving projective resolutions},
  author = {Ana Paula Santana and Ivan Yudin},
  journal= {arXiv preprint arXiv:2107.12241},
  year   = {2021}
}
R2 v1 2026-06-24T04:31:50.169Z