ACADSTAFF UGM

CREATION
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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4 Generalization of Schur's Lemma in Ring Representations on Modules over a Commutative Ring.pdf
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7 Generalization of Schur's Lemma in Ring Representations on Modules over a Commutative Ring.pdf
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8 Generalization of Schur's Lemma in Ring Representations on Modules over a Commutative Ring.pdf
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