Geodesic
Closedness properties of internal relations I: A unified approach to Mal'tsev, unital and subtractive categories
Theory and applications of categories, Tome 16 (2006), pp. 236-261

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

We study closedness properties of internal relations in finitely complete categories, which leads to developing a unified approach to: Mal'tsev categories, in the sense of A. Carboni, J. Lambek and M. C. Pedicchio, that generalize Mal'tsev varieties of universal algebras; unital categories, in the sense of D. Bourn, that generalize pointed Jónsson-Tarski varieties; and subtractive categories, introduced by the author, that generalize pointed subtractive varieties in the sense of A. Ursini.

Classification : 18C99, 08B05
Keywords: Mal'tsev, unital and subtractive category/variety, Jónsson-Tarski variety, term condition, internal relation 
@article{TAC_2006_16_a11,
     author = {Zurab Janelidze},
     title = {Closedness properties of internal relations {I:}  {A} unified approach {to
Mal'tsev,} unital and subtractive categories},
     journal = {Theory and applications of categories},
     pages = {236--261},
     publisher = {mathdoc},
     volume = {16},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2006_16_a11/}
}
TY  - JOUR
AU  - Zurab Janelidze
TI  - Closedness properties of internal relations I:  A unified approach to
Mal'tsev, unital and subtractive categories
JO  - Theory and applications of categories
PY  - 2006
SP  - 236
EP  - 261
VL  - 16
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TAC_2006_16_a11/
LA  - en
ID  - TAC_2006_16_a11
ER  - 
%0 Journal Article
%A Zurab Janelidze
%T Closedness properties of internal relations I:  A unified approach to
Mal'tsev, unital and subtractive categories
%J Theory and applications of categories
%D 2006
%P 236-261
%V 16
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TAC_2006_16_a11/
%G en
%F TAC_2006_16_a11
Zurab Janelidze. Closedness properties of internal relations I:  A unified approach to
Mal'tsev, unital and subtractive categories. Theory and applications of categories, Tome 16 (2006), pp. 236-261. http://geodesic.mathdoc.fr/item/TAC_2006_16_a11/