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Pengembangan Sifat Invers Drazin Elemen Simetris Pada Ring yang Dilengkapi Involusi

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ABSTRAK
PENGEMBANGAN SIFAT INVERS DRAZIN ELEMEN SIMETRIS PADA
RING YANG DILENGKAPI INVOLUSI
Oleh
Uzer Tarmizi
NIM : 24010116410001
Magister Matematika FSM UNDIP
Pada ring dengan elemen satuan yang dilengkapi involusi, telah banyak dibahas
mengenai konsep invers, diantaranya invers Moore-Penrose, invers Group, dan
invers Drazin. Pada tulisan ini, ditunjukkan pengembangan sifat invers MoorePenrose menjadi sifat invers Drazin pada ring. Hasil kajian menujukkan bahwa
terdapat kesamaan karakteristik antara invers Moore-Penrose dengan invers
Drazin khususnya pada elemen simetris di ring. Oleh karena itu, tulisan ini
menghasilkan karakteristik invers Moore-Penrose pada elemen simetris melalui
pendekatan invers Drazin.
Kata Kunci: Invers Moore-Penrose, Invers Drazin, Elemen Simetris.

ABSTRACT
DEVELOPMENT CHARACTERS OF INVERSE DRAZIN SYMETRIC
ELEMENT IN THE RING WITH INVOLUTION
By
Uzer Tarmizi
NIM : 24010116410001
Master of Mathetamics FSM UNDIP
In a ring that contains the unity element, with involution, has been studied
regarding inverse concepts such as Moore-Penrose inverse, Group inverse, and
Drazin inverse. In this study, it is shown that the development of the MoorePenrose inverse can be apply into new character inverse in the ring. The study
result shows that there are the similarity of characteristics between Moore-Penrose
inverse and Drazin inverse, especially for symmetric elements in the ring.
Therefore, in this study, is obtained the characteristics of Moore-Penrose inverse
on symmetric elements through the concept of Drazin inverse.
Keywords: Moore-Penrose inverse, Drazin inverse, symmetric element.

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Ketersediaan

17S2MAT20IV

017 S2MAT 20-iv

Perpustakaan FSM Undip (Referensi)

Tersedia

Informasi Detail

Judul Seri

MAGISTER MATEMATIKA

No. Panggil

017 S2MAT 20-iv

Penerbit

: ., 2020

Deskripsi Fisik

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Bahasa

Indonesia

ISBN/ISSN

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Klasifikasi

NONE

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

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Subjek

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Info Detail Spesifik

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Pernyataan Tanggungjawab

Uzer Tarmizi

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