Title | : | Generalization of Schur's Lemma in Ring Representations on Modules over a Commutative Ring |
Author | : |
NAIMAH HIJRIATI (1) Prof. Dr. Sri Wahyuni, S.U. (2) Prof. Dr.rer.nat. Indah Emilia Wijayanti, S.Si., M.Si. (3) |
Date | : | 0 2018 |
Keyword | : | Representation of ring on module; Generalized Schur's Lemma; Ring homomorphism. 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 ring |
Group of Knowledge | : | Matematika |
Original Language | : | Bahasa Indonesia |
Level | : | Internasional |
Status | : |
Published
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Generalization of Schur's Lemma in Ring Representations on Modules over a Commutative Ring.pdf
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Generalization of Schur's Lemma in Ring Representations on Modules over a Commutative Ring.pdf
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Generalization of Schur's Lemma in Ring Representations on Modules over a Commutative Ring.pdf
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