A footnote to the multiplicative basis theorem
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- by William Gustafson PDF
- Proc. Amer. Math. Soc. 95 (1985), 7-8 Request permission
Abstract:
We characterize those perfect fields $k$ such that for each integer $n \geqslant 1$, but there are but finitely many isomorphism types of $k$-algebras of dimension $n$ that are of finite representation type. Some remarks on the imperfect case are also presented.References
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R. Bautista, P. Gabriel, A. Roiter and L. Salmerón, Representation-finite algebras and multiplicative bases, preprint, Univ. Nacional Autómoma de México, 1984.
- Christian U. Jensen and Helmut Lenzing, Homological dimension and representation type of algebras under base field extension, Manuscripta Math. 39 (1982), no. 1, 1–13. MR 672397, DOI 10.1007/BF01312441
- Jean-Pierre Serre, Cohomologie galoisienne, Lecture Notes in Mathematics, No. 5, Springer-Verlag, Berlin-New York, 1965 (French). With a contribution by Jean-Louis Verdier; Troisième édition, 1965. MR 0201444 E. Steinitz, Algebraische Theorie der Körper, J. Reine Angew. Math. 137 (1910), 167-308.
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 95 (1985), 7-8
- MSC: Primary 16A46
- DOI: https://doi.org/10.1090/S0002-9939-1985-0796436-1
- MathSciNet review: 796436