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Cyclic homology of cleft extensions of algebras

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Publication:4639643
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DOI10.1142/S0219498818500913zbMath1410.16014arXiv1507.01641OpenAlexW2963526776MaRDI QIDQ4639643

Christian Valqui, Jorge Alberto Guccione, Juan José Guccione

Publication date: 11 May 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.01641


zbMATH Keywords

cyclic homologyHochschild homologycleft extensions


Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Extensions of associative rings by ideals (16S70)


Related Items

Cleft extensions of weak Hopf algebras



Cites Work

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  • On the relative homology of cleft extensions of rings and abelian categories
  • Cyclic homology, comodules, and mixed complexes
  • Algebras of cohomologically finite dimension
  • Relative theory in subcategories
  • Relative cyclic homology of square zero extensions
  • On the cyclic homology of commutative algebras over arbitrary ground rings
  • Tilting modules over split-by-nilpotent extensions
  • Algebra Extensions and Nonsingularity
  • Split-By-Nilpotent Extensions Algebras and Stratifying Systems
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