On 2-algebras: crossed R-modules and categorical R-algebras

DOI10.3906/mat-2008-39zbMath1493.18006OpenAlexW3165866563MaRDI QIDQ5101389

Elif Ilgaz Çağlayan, Zekeriya Arvasi

Publication date: 30 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-2008-39

zbMATH Keywords

category objectcategorical \(R\)-algebracrossed \(R\)-modulemonoid objectsimplicial \(R\)-algebra

Mathematics Subject Classification ID

Spectral sequences, hypercohomology (18G40)

Uses Software

• XModAlg

Cites Work

• Nonabelian algebraic topology. Filtered spaces, crossed complexes, cubical homotopy groupoids. With contributions by Christopher D. Wensley and Sergei V. Soloviev
• Homology of commutative algebras and an invariant of Simis and Vasconcelos
• Some categorical results in the theory of crossed modules in commutative algebras
• Simplicial and crossed resolutions of commutative algebras
• Computing 2-dimensional algebras: Crossed modules and Cat¹-algebras
• From Groups to Groupoids: a Brief Survey
• Combinatorial homotopy. II
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