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On an algebra associated with a circular quiver and its periodic projective bimodule resolution. (Q819276)

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scientific article; zbMATH DE number 5015604
Language Label Description Also known as
English
On an algebra associated with a circular quiver and its periodic projective bimodule resolution.
scientific article; zbMATH DE number 5015604

    Statements

    title
    On an algebra associated with a circular quiver and its periodic projective bimodule resolution. (English)
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    author
    Takahiko Furuya
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    publication date
    28 March 2006
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    review text
    The bimodule resolutions of basic self-injective Nakayama algebras have been shown to be periodic by \textit{K. Erdmann} and \textit{T. Holm} [Forum Math. 11, No. 2, 177-201 (1999; Zbl 0937.16014)]. In the paper under review, subalgebras are defined, which are generated by paths of fixed length in the (cyclic) quiver. These subalgebras are shown to decompose into direct sums of basic Nakayama algebras. Thus again these algebras have periodic bimodule resolutions, which are given explicitly.
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    zbMATH Keywords
    basic self-injective Nakayama algebras
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    periodic bimodule resolutions
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    Identifiers

    Mathematics Subject Classification ID
    16E40
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    16E05
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    16G20
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    zbMATH DE Number
    5015604
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    OpenAlex ID
    W2111827862
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