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. 
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     author = {Zekeriya Arvasi},
     title = {Crossed squares and 2-crossed modules of commutative algebras},
     journal = {Theory and applications of categories},
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     volume = {3},
     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_1997_3_a6/}
}
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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/