English

The Relation between Ann-Categories and Ring Categories

Category Theory 2013-01-08 v1

Abstract

There are different categorizations of the definition of a {\it ring} such as {\it Ann-category} (see N. T. Quang [6]), {\it ring category} (see M. Kapranov and V.Voevodsky [2]),... The main result of this paper is to prove that every axiom of the definition of a {\it ring category}, without the axiom x0=y0,x_{0}=y_{0}, can be deduced from the axiomatics of an {\it Ann-category}.

Cite

@article{arxiv.0904.1099,
  title  = {The Relation between Ann-Categories and Ring Categories},
  author = {Nguyen Tien Quang and Nguyen Thu Thuy and Che Thi Kim Phung},
  journal= {arXiv preprint arXiv:0904.1099},
  year   = {2013}
}

Comments

9 pages

R2 v1 2026-06-21T12:48:58.947Z