ACADSTAFF UGM

CREATION
Title : On representation of polynomial ring on a vector space via a linear transformation
Author :

Prof. Dr. Sri Wahyuni, S.U. (1) Prof. Dr.rer.nat. Indah Emilia Wijayanti, S.Si., M.Si. (2) NAIMAH HIJRIATI (3)

Date : 0 2017
Keyword : representation of polynomial ring,vector space,linear transformation representation of polynomial ring,vector space,linear transformation
Abstract : A representation of a ring R is a ring homomorphism from R to the ring of all linear transformations from V to V (End F (V)). From the field F, we can form a polynomial ring F[X]. A representation of F[X] is a ring homomorphism phiv: F[X] ? End F (V ) via linear transformation T : V ? V with phiv(f(X)) = f(T) for all f(X) ? F[X]. For general ring representation ?: R ? End F (V), we have notions of admissibility submodule, and completely reducible and simple admissible submodule. In this paper, we will show that admissible submodules of V are invariant under T, and a representation of F[X] is completely reducible.
Group of Knowledge : Matematika
Original Language : English
Level : Internasional
Status :
Published
Document
No Title Document Type Action
1 Cover.pdf
Document Type : [PAK] Halaman Cover
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2 REviewer-.pdf
Document Type : [PAK] Halaman Editorial
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3 Daftar-ISI.pdf
Document Type : [PAK] Daftar Isi
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4 Preface.pdf
Document Type : [PAK] Halaman Editorial
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5 4-paper.pdf
Document Type : [PAK] Full Dokumen
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