English

Structure of Ann-categories and Mac Lane - Shukla cohomology

Category Theory 2007-08-27 v1

Abstract

In this paper we study the structure of a class of categories having two operations which satisfy axioms analoguos to that of rings. Such categories are called "Ann - categories". We obtain the classification theorems for regular Ann - categories and Ann - functors by using Mac Lane - Shukla cohomology of rings. These results give new interpretations of the cohomology groups and of the rings

Keywords

Cite

@article{arxiv.0708.3308,
  title  = {Structure of Ann-categories and Mac Lane - Shukla cohomology},
  author = {Nguyen Tien Quang},
  journal= {arXiv preprint arXiv:0708.3308},
  year   = {2007}
}

Comments

14 pager