Comparison of MacLane, Shukla and Hochschild cohomologies

DOI10.1515/CRELLE.2006.068zbMath1116.18009MaRDI QIDQ3413794

Hans-Joachim Baues, Teimouraz Pirashvili

Publication date: 18 December 2006

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

Hochschild cohomologyMacLane cohomologyShukla cohomologychain algebras

Mathematics Subject Classification ID

Related Items (9)

The DG-category of secondary cohomology operations ⋮ Oriented algebras and the Hochschild cohomology group ⋮ Cohomology of oriented algebras ⋮ Derived representation schemes and cyclic homology ⋮ Cohomology of exact categories and (non-)additive sheaves ⋮ Quadratic algebra of square groups ⋮ Fibered aspects of Yoneda's regular span ⋮ Splittings and calculational techniques for higher THH ⋮ Support varieties over skew complete intersections via derived braided Hochschild cohomology

Cites Work

• Lifting Lie algebras over the residue field of a discrete valuation ring
• Spaces with finitely many non-trivial homotopy groups
• Cohomologie et groupe de Steinberg rélatifs
• DGA algebras as a Quillen model category relations to shm maps
• Towards the MacLane cohomology of finite fields
• Spectral sequence for MacLane homology
• On the MacLane cohomology for the ring of integers
• Topological Hochschild homology of \(\mathbb{Z}/ p^n\)
• The cohomology structure of an associative ring
• Cohomology of algebraic theories
• On the topological hochschild homology of z/p^kz
• A nonabelian two-dimensional cohomology for associative algebras
• On the 3-Type of a Complex
• Combinatorial homotopy. II
• Homology Theories for Multiplicative Systems
• MacLane homology and topological Hochschild homology
• Liftings of smooth algebras and of their morphisms

This page was built for publication: Comparison of MacLane, Shukla and Hochschild cohomologies