On 3-crossed modules of algebras

Details On 3-crossed modules of algebras On 3-crossed modules of algebras

2010-03-04

arxiv.org/abs/1003.0985v1

Mathematics

Category Theory

16 pages

Scientific paper

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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