Hochschild cohomology of reduced incidence algebras

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Atıf İçin Kopyala

Kanuni M., Kaygun A., Sutlu S.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.16, sa.9, 2017 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 16 Sayı: 9
• Basım Tarihi: 2017
• Doi Numarası: 10.1142/s0219498817501687
• Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• İstanbul Teknik Üniversitesi Adresli: Evet

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.