A Note on Periodicity in Representation Theory of Finite Dimensional Algebras: Communications in Algebra: Vol 34, No 10

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Abstract

Let Λ be an algebra over an algebraically closed field K of infinite transcendence degree over its prime subfield. We prove in particular that if every s-dimensional indecomposable nonprojective Λ-module is Ω-periodic (resp. DTr-periodic) then there exists a common bound for the Ω-periods (resp. DTr-periods) of s-dimensional indecomposable nonprojective Λ-modules.

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Communicated by D. Happel.

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A Note on Periodicity in Representation Theory of Finite Dimensional Algebras

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