Finitely Presentable Algebras For Finitary Monads
Category Theory
2019-09-06 v1
Abstract
For finitary regular monads T on locally finitely presentable categories we characterize the finitely presentable objects in the category of T-algebras in the style known from general algebra: they are precisely the algebras presentable by finitely many generators and finitely many relations.
Cite
@article{arxiv.1909.02524,
title = {Finitely Presentable Algebras For Finitary Monads},
author = {Jiří Adámek and Stefan Milius and Lurdes Sousa and Thorsten Wißmann},
journal= {arXiv preprint arXiv:1909.02524},
year = {2019}
}
Comments
The article 1902.05788 has been split in two; the material in the present article was formerly contained in 1902.05788 version 1