English

Matrix product is many-sorted algebra

Logic 2013-11-06 v1

Abstract

It is known that a category of many-sorted algebras on pure sets of similarity type is "concretely equivalent" to a category of single-sorted algebras. In this paper, we characterize a single-sorted variety that corresponds to a many-sorted variety. Such variety is also characterized by the condition that is decomposable with respect to matrix product.

Keywords

Cite

@article{arxiv.1311.0945,
  title  = {Matrix product is many-sorted algebra},
  author = {Shohei Izawa},
  journal= {arXiv preprint arXiv:1311.0945},
  year   = {2013}
}

Comments

23 pages

R2 v1 2026-06-22T02:01:07.290Z