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3-Crossed Modules of Commutative Algebras

2010/03/04 by T. S. Kuzpınarı, Kuzpınarı, T. S., Alper Odabaş +3
Mathematics · #18D35 18G30 18G50 18G55 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1003.0985

openalex publication_date 2010/03/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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-algebra.

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