Generalization of Schur's Lemma in Ring Representations on Modules over a Commutative Ring
DOI:
https://doi.org/10.29020/nybg.ejpam.v11i3.3285Keywords:
Representation of ring on module, Generalized Schur's Lemma, Ring homomorphism.Abstract
Let $ R, S $ be rings with unity, $ M $ a module over $ S $, where $ S $ a commutative ring, and $ f \colon R \rightarrow S $ a ring homomorphism. A ring representation of $ R $ on $ M $ via $ f $ is a ring homomorphism $ \mu \colon R \rightarrow End_S(M) $, where $ End_S(M) $ is a ring of all $ S $-module homomorphisms on $ M $. One of the important properties in representation of rings is the Schur's Lemma. The main result of this paper is partly the generalization of Schur's Lemma in representations of rings on modules over a commutative ringDownloads
Published
2018-07-31
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Section
Approximation Theory
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How to Cite
Generalization of Schur’s Lemma in Ring Representations on Modules over a Commutative Ring. (2018). European Journal of Pure and Applied Mathematics, 11(3), 751-761. https://doi.org/10.29020/nybg.ejpam.v11i3.3285