English

3-Crossed Modules of Commutative Algebras

Category Theory 2016-02-10 v2 Algebraic Topology

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 k\mathbf{k}-algebra.

Keywords

Cite

@article{arxiv.1003.0985,
  title  = {3-Crossed Modules of Commutative Algebras},
  author = {T. S. Kuzpınarı and A. Odabaş and E. Ö. Uslu},
  journal= {arXiv preprint arXiv:1003.0985},
  year   = {2016}
}

Comments

16 pages

R2 v1 2026-06-21T14:53:41.815Z