Geodesic
HSP subcategories of Eilenberg-Moore algebras
Theory and applications of categories, Tome 10 (2002), pp. 461-468

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

Given a triple T on a complete category C and a factorization system E/M on the category of algebras, we show there is a 1-1 correspondence between full subcategories of the category of algebras that are closed under U-split epimorphisms, products, and M-subobjects and triple morphisms T -> S for which the induced natural transformation between free functors belongs to E.

Classification : 18C05, 18A20, 18A40.
Keywords: Birkhoff subcategories, factorizations, reflective subcategories. 
@article{TAC_2002_10_a17,
     author = {Michael Barr},
     title = {HSP subcategories of {Eilenberg-Moore} algebras},
     journal = {Theory and applications of categories},
     pages = {461--468},
     publisher = {mathdoc},
     volume = {10},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2002_10_a17/}
}
TY  - JOUR
AU  - Michael Barr
TI  - HSP subcategories of Eilenberg-Moore algebras
JO  - Theory and applications of categories
PY  - 2002
SP  - 461
EP  - 468
VL  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TAC_2002_10_a17/
LA  - en
ID  - TAC_2002_10_a17
ER  - 
%0 Journal Article
%A Michael Barr
%T HSP subcategories of Eilenberg-Moore algebras
%J Theory and applications of categories
%D 2002
%P 461-468
%V 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TAC_2002_10_a17/
%G en
%F TAC_2002_10_a17
Michael Barr. HSP subcategories of Eilenberg-Moore algebras. Theory and applications of categories, Tome 10 (2002), pp. 461-468. http://geodesic.mathdoc.fr/item/TAC_2002_10_a17/