Deleting or adding arrows of a bound quiver algebra and Hochschild (co)homology

DOI10.1090/proc/14936zbMath1457.18014arXiv1812.07655OpenAlexW2991132074WikidataQ122112899 ScholiaQ122112899MaRDI QIDQ4959720

Claude Cibils, Andrea L. Solotar, Eduardo do N. Marcos, Marcelo Américo Lanzilotta

Publication date: 7 April 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.07655

zbMATH Keywords

arrowcohomologyhomologyquiverrelativeHochschild

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Related Items (4)

Homological invariants of the arrow removal operation ⋮ Jacobi–Zariski long nearly exact sequences for associative algebras ⋮ The first Hochschild (co)homology when adding arrows to a bound quiver algebra ⋮ Split bounded extension algebras and Han's conjecture

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Jacobi-Zariski exact sequence for Hochschild homology and cyclic (co)homology
• Hochschild cohomology and stratifying ideals.
• Cyclic homology in non-commutative geometry
• On the relative homology of cleft extensions of rings and abelian categories
• Hochschild cohomology of triangular matrix algebras
• Derived invariance of the cap product in Hochschild theory
• Erratum to ``Jacobi-Zariski exact sequence for Hochschild homology and cyclic (co)homology
• The cohomology structure of an associative ring
• Derived invariance of the Tamarkin-Tsygan calculus of an algebra
• Quiver representations.
• Homological epimorphisms, recollements and Hochschild cohomology -- with a conjecture by Snashall-Solberg in view
• On the cohomology groups of an associative algebra
• Exact categories
• Relative homology and representation theory 1
• Relative Homological Algebra
• Reduction techniques for the finitistic dimension
• Higher algebraic K-theory: I
• Hochschild cohomology of piecewise hereditary algebras
• COHOMOLOGY OF SPLIT ALGEBRAS AND OF TRIVIAL EXTENSIONS This work has been supported by the projects SECYT-ECOS A98E05 and SECYT-CAPES BR1299OG. The first author wishes to thank FAPESP (Brazil) for financial support. The second author has a research scholarship from Cnpq (Brazil). The third and fourth authors are research members of CONICET (Argentina).
• Derived Equivalences As Derived Functors
• The Hochschild Cohomology Ring of a One Point Extension
• Support varieties and Hochschild cohomology rings
• Going relative with Maurice—A survey

This page was built for publication: Deleting or adding arrows of a bound quiver algebra and Hochschild (co)homology