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Some properties of group representation over modules

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Main Authors: Abdurrazzaq, Achmad, Zainab, Yahya, Ahmad Kadri, Junoh, Ismail Mohd
Other Authors: razzaq.ganesha@gmail.com
Format: Article
Language:English
Published: Institute of Engineering Mathematics, Universiti Malaysia Perlis 2018
Subjects:
Group representation
Vector spaces
Group theory
Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/51364
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id my.unimap-51364
record_format dspace
spelling my.unimap-513642018-07-24T01:48:19Z Some properties of group representation over modules Abdurrazzaq, Achmad Zainab, Yahya Ahmad Kadri, Junoh Ismail Mohd razzaq.ganesha@gmail.com zainabyahya@unimap.edu.my ahmadkadrijunoh@gmail.com ismail_ayah_irma@yahoo.com Group representation Vector spaces Group theory Link to publisher's homepage at http://amci.unimap.edu.my Representation theory is the parts of advanced topics in abstract algebra that deal with groups. Reperesentation theory in general facilitate the problems on abstract algebra by transforming into linear algebra form. There are some cases of representation theory which can be expressed as modules over ring. Let G be a group and V be a vector space over field, F . The representation of group G is a homomorphism y: G→GL(V), where GL→V is invertible automorphism from V to itself.. In this study, the representation of group was generalized by exchanging the vector spaces with modules. Furthermore, the aim of this study is not only to generalize the representation of group over vector space but also to investigate conditions that formed on representation of group over modules. Results regarding the properties of representation of group over modules have been obtained in this study. 2018-01-30T07:36:15Z 2018-01-30T07:36:15Z 2017 Article Applied Mathematics and Computational Intelligence (AMCI), vol.6, 2017, pages 1-6 2289-1323 (online) 2289-1315 (print) http://dspace.unimap.edu.my:80/xmlui/handle/123456789/51364 en Institute of Engineering Mathematics, Universiti Malaysia Perlis
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Group representation
Vector spaces
Group theory
spellingShingle Group representation
Vector spaces
Group theory
Abdurrazzaq, Achmad
Zainab, Yahya
Ahmad Kadri, Junoh
Ismail Mohd
Some properties of group representation over modules
description Link to publisher's homepage at http://amci.unimap.edu.my
author2 razzaq.ganesha@gmail.com
author_facet razzaq.ganesha@gmail.com
Abdurrazzaq, Achmad
Zainab, Yahya
Ahmad Kadri, Junoh
Ismail Mohd
format Article
author Abdurrazzaq, Achmad
Zainab, Yahya
Ahmad Kadri, Junoh
Ismail Mohd
author_sort Abdurrazzaq, Achmad
title Some properties of group representation over modules
title_short Some properties of group representation over modules
title_full Some properties of group representation over modules
title_fullStr Some properties of group representation over modules
title_full_unstemmed Some properties of group representation over modules
title_sort some properties of group representation over modules
publisher Institute of Engineering Mathematics, Universiti Malaysia Perlis
publishDate 2018
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/51364
_version_ 1643804062305484800
score 13.214268

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