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 | : | ON REPRESENTATION OF POLYNOMIAL RING ON A VECTOR SPACE via A LINEAR TRANSFORMATION ON REPRESENTATION OF POLYNOMIAL RING ON A VECTOR SPACE via A 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 : F[X] ? End F (V ) via linear transformation T : V ? V with (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 | : | |
Level | : | Internasional |
Status | : |
Published
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Preface.pdf
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On representation of polynomial ring on a vector space via a linear transformation.pdf
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On representation of polynomial ring on a vector space via a linear transformation.pdf
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#On representation of polynomial ring on a vector space via a linear transformation.pdf
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prosiding_#On representation of polynomial ring on a vector space via a linear transformation.pdf
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