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On Modules of Finite Complexity Over Selfinjective Artin Algebras

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Abstract

In this paper we study Auslander-Reiten sequences of modules with finite complexity over selfinjective artin algebras. In particular, we show that for all eventually Ω-perfect modules of finite complexity, the number of indecomposable non projective summands of the middle term of such sequences is bounded by 4. We also describe situations in which all non projective modules in a connected component of the Auslander-Reiten quiver are eventually Ω-perfect.

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Authors and Affiliations

  1. Department of Matematics, Virginia Tech, Blacksburg, VA, 24061, USA

    Edward L. Green

  2. Department of Mathematics, Syracuse University, Syracuse, NY, 13244, USA

    Dan Zacharia

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  1. Edward L. Green
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  2. Dan Zacharia
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Correspondence to Edward L. Green.

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Both authors are supported by grants from NSA.

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Green, E.L., Zacharia, D. On Modules of Finite Complexity Over Selfinjective Artin Algebras. Algebr Represent Theor 14, 857–868 (2011). https://doi.org/10.1007/s10468-010-9221-y

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  • DOI: https://doi.org/10.1007/s10468-010-9221-y

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