Freeness conditions for quadratic modules and quadratic chain complexes

DOI10.1515/GMJ.2011.0049zbMath1254.18015MaRDI QIDQ3108548

Erdal Ulualan, Zekeriya Arvasi

Publication date: 4 January 2012

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

crossed modulescommutatorsquadratic modulesimplicial groups

Mathematics Subject Classification ID

Chain complexes (category-theoretic aspects), dg categories (18G35)

Related Items (2)

On free quadratic modules of commutative algebras ⋮ Quadratic modules bifibred over nil(2)-modules

Cites Work

• Modules croisés généralisés de longueur 2
• Van Kampen theorems for diagrams of spaces
• Colimit theorems for relative homotopy groups
• Group-theoretic algebraic models for homotopy types
• \(n\)-types of simplicial groups and crossed \(n\)-cubes
• Some relations between homology and homotopy groups
• A Relation Between CW-Complexes and Free c.s.s. Groups
• Suspensions of crossed and quadratic complexes, co-H-structures and applications
• Combinatorial homotopy. II
• Simplicial homotopy theory

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