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The Representation Type of Algebras and Subalgebras
Published online by Cambridge University Press: 20 November 2018
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For A an associative algebra with identity over a field K, [A : K] < ∞, and d an integer, we define gΛ(d) to be the number of inequivalent indecomposable Λ-modules of degree d over K. Following (6), we define Λ to be of finite representation type if . Λis said to be of bounded representation type if there exists d0 such that gΛ(d) = 0 for d ⩾ d0; Λ is of unbounded representation type if not of bounded type.
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- Copyright © Canadian Mathematical Society 1958
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