English

Coherent subcategories of finitely generated $\Lambda$-modules

Rings and Algebras 2016-08-17 v2

Abstract

We explore some properties of wide subcategories of the category mod(Λ)\,(\Lambda) of finitely generated left Λ\Lambda-modules, for some artin algebra Λ.\Lambda. In particular we look at wide finitely generated subcategories and give a connection with the class of standard modules and standardly stratified algebras. Furthermore, for a wide class X\mathcal{X} in mod(Λ),\,(\Lambda), we give necessary and sufficient conditions to see that X=pres(P),\mathcal{X}=\mathrm{pres}\,(P), for some projective Λ\Lambda-module P;P; and finally, a connection with ring epimorphisms is given.

Keywords

Cite

@article{arxiv.1601.05023,
  title  = {Coherent subcategories of finitely generated $\Lambda$-modules},
  author = {E. N. Marcos and O. Mendoza and C. Sáenz and V. Santiago},
  journal= {arXiv preprint arXiv:1601.05023},
  year   = {2016}
}

Comments

14 pages, 2 figures

R2 v1 2026-06-22T12:32:49.798Z