Geodesic
Crossed squares and 2-crossed modules of commutative algebras
Theory and applications of categories, Tome 3 (1997), pp. 160-181.

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

In this paper, we construct a neat description of the passage from crossed squares of commutative algebras to 2-crossed modules analogous to that given by Conduche in the group case. We also give an analogue, for commutative algebra, of T. Porter's simplicial groups to n-cubes of groups which implies an inverse functor to Conduche's one.
Classification : 18G30, 18G55.
Keywords: Simplicial Algebras, Crossed n-Cubes, Crossed Squares, 2-Crossed Modules. 
@article{TAC_1997_3_a6,
     author = {Zekeriya Arvasi},
     title = {Crossed squares and 2-crossed modules of commutative algebras},
     journal = {Theory and applications of categories},
     pages = {160--181},
     publisher = {mathdoc},
     volume = {3},
     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_1997_3_a6/}
}
TY  - JOUR
AU  - Zekeriya Arvasi
TI  - Crossed squares and 2-crossed modules of commutative algebras
JO  - Theory and applications of categories
PY  - 1997
SP  - 160
EP  - 181
VL  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TAC_1997_3_a6/
LA  - en
ID  - TAC_1997_3_a6
ER  - 
%0 Journal Article
%A Zekeriya Arvasi
%T Crossed squares and 2-crossed modules of commutative algebras
%J Theory and applications of categories
%D 1997
%P 160-181
%V 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TAC_1997_3_a6/
%G en
%F TAC_1997_3_a6
Zekeriya Arvasi. Crossed squares and 2-crossed modules of commutative algebras. Theory and applications of categories, Tome 3 (1997), pp. 160-181. http://geodesic.mathdoc.fr/item/TAC_1997_3_a6/