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3-Crossed Modules of Commutative Algebras

Published 4 Mar 2010 in math.CT and math.AT | (1003.0985v2)

Abstract: In this paper we define 3-crossed modules for commutative (Lie) algebras and investigate the relation between this construction and the simplicial algebras. Also we define the projective 3-crossed resolution for investigate a higher dimensional homological information and show the existence of this resolution for an arbitrary $\mathbf{k}$-algebra.

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