A Module Theory Approach on Generalization of Maschke Theorem and Schur’s Lemma in Representation Theory

Hijriati, Na'imah; Wahyuni, Sri; Wijayanti, Indah Emilia; Surodjo, Budi; Munandar, Arif

dc.contributor.author	Hijriati, Na'imah
dc.contributor.author	Wahyuni, Sri
dc.contributor.author	Wijayanti, Indah Emilia
dc.contributor.author	Surodjo, Budi
dc.contributor.author	Munandar, Arif
dc.date.accessioned	2024-08-08T06:00:33Z
dc.date.available	2024-08-08T06:00:33Z
dc.date.issued	2023
dc.identifier.citation	Hijriati et.all	en_US
dc.identifier.issn	0129-2021
dc.identifier.uri	https://repo-dosen.ulm.ac.id//handle/123456789/35813
dc.description.abstract	In this work we study representations of finite abelian groups over module over a principal ideal domain. Let G be a finite abelian group and M a module over a principal ideal domain R. A representation of G over M is a group homomorphism from G to the automorphisms on M over R. We use the fact that this M can be represented as an R[G]-module to generalize Maschke Theorem and Schur’s Lemma.	en_US
dc.description.sponsorship	Hibah Penelitian Departemen Matematika FMIPA UGM 2016 and grant Penelitian Disertasi Doktor from the Ministry of Research and Higher Education, 2019.	en_US
dc.language.iso	en	en_US
dc.publisher	Southeast Asian Bulletin of Mathematics	en_US
dc.relation.ispartofseries	47;1
dc.subject	Representation of groups over modules; Generalized Maschke theorem; Gen- eralized Schur’s lemma.	en_US
dc.title	A Module Theory Approach on Generalization of Maschke Theorem and Schur’s Lemma in Representation Theory	en_US
dc.type	Article	en_US