Projective crossed modules of algebras and cyclic homology

DOI10.3906/mat-1504-4zbMath1424.16031OpenAlexW2538577269MaRDI QIDQ4633213

E. Ilgaz

Publication date: 2 May 2019

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

Full work available at URL: https://doi.org/10.3906/mat-1504-4

zbMATH Keywords

cyclic homologyfree crossed modulecrossed module of algebrasprojective crossed module

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Free, projective, and flat modules and ideals in associative algebras (16D40) Projectives and injectives (category-theoretic aspects) (18G05)

Uses Software

• XModAlg

Cites Work

• Cyclic homology via derived functors.
• Nonabelian algebraic topology. Filtered spaces, crossed complexes, cubical homotopy groupoids. With contributions by Christopher D. Wensley and Sergei V. Soloviev
• Cyclic homologies of crossed modules of algebras
• Free and projective crossed modules and the second homology group of a group
• Homology of commutative algebras and an invariant of Simis and Vasconcelos
• Some categorical results in the theory of crossed modules in commutative algebras
• Annihilators, multipliers and crossed modules
• Simplicial and crossed resolutions of commutative algebras
• Hopf type formulas for cyclic homology
• \(N\)-fold Čech derived functors and generalised Hopf type formulas
• Hopf Formulae for the Higher Homology of a Group
• Free and Projective Crossed Modules
• Ganea Term for Homology of Leibniz n-Algebras
• Combinatorial homotopy. I

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