A short note on the Schur-Jacobson theorem
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- by R. C. Cowsik
- Proc. Amer. Math. Soc. 118 (1993), 675-676
- DOI: https://doi.org/10.1090/S0002-9939-1993-1139475-8
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Abstract:
An upper bound for the length of a commutative Artinian ring in terms of the length of a faithful module is given. This generalizes a theorem of Schur and Jacobson.References
- William H. Gustafson, On maximal commutative algebras of linear transformations, J. Algebra 42 (1976), no. 2, 557–563. MR 422341, DOI 10.1016/0021-8693(76)90114-9
- N. Jacobson, Schur’s theorems on commutative matrices, Bull. Amer. Math. Soc. 50 (1944), 431–436. MR 10540, DOI 10.1090/S0002-9904-1944-08169-X I. Schur, Zur theorie vertauschbaren matrizen, Crelle’s J. 130 (1905), 66-76.
Bibliographic Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 675-676
- MSC: Primary 13E10; Secondary 13C15
- DOI: https://doi.org/10.1090/S0002-9939-1993-1139475-8
- MathSciNet review: 1139475