A short note on the Schur-Jacobson theorem-Reference-Cited by-同舟云学术

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A short note on the Schur-Jacobson theorem

Published:1993 Issue:2 Volume:118 Page:675-676
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Cowsik R. C.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1993-118-02/S0002-9939-1993-1139475-8/S0002-9939-1993-1139475-8.pdf

Reference3 articles.

1. On maximal commutative algebras of linear transformations;Gustafson, William H.;J. Algebra,1976

2. Schur’s theorems on commutative matrices;Jacobson, N.;Bull. Amer. Math. Soc.,1944

3. I. Schur, Zur theorie vertauschbaren matrizen, Crelle’s J. 130 (1905), 66-76.

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Construction of a class of maximal commutative subalgebras of prime Leavitt path algebras;Forum Mathematicum;2021-10-17

2. The Maximal Abelian Dimension of a Lie Algebra, Rentschler’s Property and Milovanov’s Conjecture;Algebras and Representation Theory;2019-03-20

3. On Artinian Modules Over Duo Rings;Communications in Algebra;2010-08-31

4. On the dimension of faithful modules over finite dimensional basic algebras;Linear Algebra and its Applications;2003-05

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