Hochschild cohomology of reduced incidence algebras

Müge Kanuni; Atabey Kaygun; Serkan Sütlü

doi:10.1142/S0219498817501687

Hochschild cohomology of reduced incidence algebras

Müge Kanuni^*, Atabey Kaygun, Serkan Sütlü

^*Corresponding author for this work

Department of Mathematics Engineering

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

Abstract

We compute the continuous Hochschild cohomology of four reduced incidence algebras: The algebra of formal power series, the algebra of exponential power series, the algebra of Eulerian power series, and the algebra of formal Dirichlet series. We achieve the result by carrying out the computation for the coalgebra Cotor-groups of their pre-dual coalgebras.

Original language	English
Article number	1750168
Journal	Journal of Algebra and its Applications
Volume	16
Issue number	9
DOIs	https://doi.org/10.1142/S0219498817501687
Publication status	Published - 1 Sept 2017

Bibliographical note

Publisher Copyright:
© 2017 World Scientific Publishing Company.

Keywords

Hochschild cohomology
incidence algebra

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10.1142/S0219498817501687

Cite this

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title = "Hochschild cohomology of reduced incidence algebras",

abstract = "We compute the continuous Hochschild cohomology of four reduced incidence algebras: The algebra of formal power series, the algebra of exponential power series, the algebra of Eulerian power series, and the algebra of formal Dirichlet series. We achieve the result by carrying out the computation for the coalgebra Cotor-groups of their pre-dual coalgebras.",

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AU - Kanuni, Müge

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AU - Sütlü, Serkan

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AB - We compute the continuous Hochschild cohomology of four reduced incidence algebras: The algebra of formal power series, the algebra of exponential power series, the algebra of Eulerian power series, and the algebra of formal Dirichlet series. We achieve the result by carrying out the computation for the coalgebra Cotor-groups of their pre-dual coalgebras.

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KW - incidence algebra

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Hochschild cohomology of reduced incidence algebras

Abstract

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Keywords

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