The ordinary quivers of Hochschild extension algebras for self-injective Nakayama algebras

Hideyuki Koie; Tomohiro Itagaki; Katsunori Sanada

doi:10.1080/00927872.2018.1430806

The ordinary quivers of Hochschild extension algebras for self-injective Nakayama algebras

Hideyuki Koie
, Tomohiro Itagaki
, Katsunori Sanada

数学科

研究成果: Article › 査読

2 被引用数 (Scopus)

抄録

Let T be a Hochschild extension algebra of a finite dimensional algebra A over a field K by the standard duality A-bimodule Hom_K(A, K). In this paper, we determine the ordinary quiver of T if A is a self-injective Nakayama algebra by means of the ℕ-graded second Hochschild homology group HH₂(A) in the sense of Sköldberg.

本文言語	English
ページ（範囲）	3950-3964
ページ数	15
ジャーナル	Communications in Algebra
巻	46
号	9
DOI	https://doi.org/10.1080/00927872.2018.1430806
出版ステータス	Published - 2 9月 2018

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10.1080/00927872.2018.1430806

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KW - symmetric algebra

KW - trivial extension

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The ordinary quivers of Hochschild extension algebras for self-injective Nakayama algebras

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