English

Relative cohomology of algebraic theories

K-Theory and Homology 2017-06-20 v2

Abstract

We construct relative abelian categories in the sense of MacLane for models of algebraic systems in (co)complete abelian categories. As an example, we consider an analogue of Hochschild-Mitchell cohomology for the functor of Yoneda embedding.

Keywords

Cite

@article{arxiv.1408.1858,
  title  = {Relative cohomology of algebraic theories},
  author = {Simeon Pol'shin},
  journal= {arXiv preprint arXiv:1408.1858},
  year   = {2017}
}

Comments

7 pages, latex, v.2 accepted in Applied Categorical Structures