The Representation Type of Algebras and Subalgebras
- 1 January 1958
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 10, 39-44
- https://doi.org/10.4153/cjm-1958-004-x
Abstract
For A an associative algebra with identity over a field K, [A : K] < ∞, and d an integer, we define g Λ(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 d 0 such that g Λ(d) = 0 for d ⩾ d 0; Λ is of unbounded representation type if not of bounded type.Keywords
This publication has 1 reference indexed in Scilit:
- Induced and Produced ModulesCanadian Journal of Mathematics, 1955