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Mathematics > Rings and Algebras

arXiv:1812.07655 (math)
[Submitted on 18 Dec 2018 (v1), last revised 2 Nov 2019 (this version, v3)]

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

Authors:Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos, Andrea Solotar
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Abstract:We describe how the Hochschild (co)homology of a bound quiver algebra changes when adding or deleting arrows to the quiver. The main tools are relative Hochschild (co)homology, the Jacobi-Zariski long exact sequence obtained by A. Kaygun and a one step relative projective resolution of a tensor algebra.
Comments: Typos corrected To appear in Proc. Amer. Math. Soc
Subjects: Rings and Algebras (math.RA); K-Theory and Homology (math.KT); Representation Theory (math.RT)
MSC classes: 18G25, 18H15, 16E40, 16A61, 16E30, 18H15, 18G15
Cite as: arXiv:1812.07655 [math.RA]
  (or arXiv:1812.07655v3 [math.RA] for this version)
  https://doi.org/10.48550/arXiv.1812.07655

Submission history

From: Claude Cibils [view email]
[v1] Tue, 18 Dec 2018 21:51:46 UTC (20 KB)
[v2] Tue, 18 Jun 2019 16:27:56 UTC (13 KB)
[v3] Sat, 2 Nov 2019 14:04:06 UTC (13 KB)
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