Cyclic homology of truncated quiver algebras

Jurij Volčič

doi:10.1016/j.jpaa.2014.04.007

Cyclic homology of truncated quiver algebras

Jurij Volčič

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We determine the cyclic homology of truncated quiver algebras over a general commutative unital ring. Thus we improve and generalise the results in [8] and [5], where this problem has been studied for algebras over a field. We use the spectral sequence of a double complex that is obtained from minimal projective bimodule resolution and comparison morphisms.

Original language	English
Pages (from-to)	33-46
Number of pages	14
Journal	Journal of Pure and Applied Algebra
Volume	219
Issue number	1
DOIs	https://doi.org/10.1016/j.jpaa.2014.04.007
State	Published - 1 Jan 2015
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jpaa.2014.04.007

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title = "Cyclic homology of truncated quiver algebras",

abstract = "We determine the cyclic homology of truncated quiver algebras over a general commutative unital ring. Thus we improve and generalise the results in [8] and [5], where this problem has been studied for algebras over a field. We use the spectral sequence of a double complex that is obtained from minimal projective bimodule resolution and comparison morphisms.",

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AB - We determine the cyclic homology of truncated quiver algebras over a general commutative unital ring. Thus we improve and generalise the results in [8] and [5], where this problem has been studied for algebras over a field. We use the spectral sequence of a double complex that is obtained from minimal projective bimodule resolution and comparison morphisms.

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U2 - 10.1016/j.jpaa.2014.04.007

DO - 10.1016/j.jpaa.2014.04.007

M3 - Article

AN - SCOPUS:84905581899

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SP - 33

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JO - Journal of Pure and Applied Algebra

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ER -

Cyclic homology of truncated quiver algebras

Abstract

ASJC Scopus subject areas

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