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

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

Özet

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.

Orijinal dil	İngilizce
Makale numarası	1750168
Dergi	Journal of Algebra and its Applications
Hacim	16
Basın numarası	9
DOI'lar	https://doi.org/10.1142/S0219498817501687
Yayın durumu	Yayınlandı - 1 Eyl 2017

Bibliyografik not

Publisher Copyright:
© 2017 World Scientific Publishing Company.

Belgeye Erişim

10.1142/S0219498817501687

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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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.",

keywords = "Hochschild cohomology, incidence algebra",

author = "M{\"u}ge Kanuni and Atabey Kaygun and Serkan S{\"u}tl{\"u}",

note = "Publisher Copyright: {\textcopyright} 2017 World Scientific Publishing Company.",

year = "2017",

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doi = "10.1142/S0219498817501687",

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T1 - Hochschild cohomology of reduced incidence algebras

AU - Kanuni, Müge

AU - Kaygun, Atabey

AU - Sütlü, Serkan

PY - 2017/9/1

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N2 - 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.

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.

KW - Hochschild cohomology

KW - incidence algebra

UR - http://www.scopus.com/inward/record.url?scp=84992083505&partnerID=8YFLogxK

U2 - 10.1142/S0219498817501687

DO - 10.1142/S0219498817501687

M3 - Article

AN - SCOPUS:84992083505

SN - 0219-4988

VL - 16

JO - Journal of Algebra and its Applications

JF - Journal of Algebra and its Applications

IS - 9

M1 - 1750168

ER -

Hochschild cohomology of reduced incidence algebras

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap