Open AccessOn submodules of modules over group rings
Author(s) -
Ortaç Öneş,
Mustafa Alkan,
Mehmet Uç
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2002575o
Subject(s) - mathematics , group (periodic table) , dimension (graph theory) , connection (principal bundle) , associative property , ring (chemistry) , group ring , pure mathematics , conjugate , combinatorics , algebra over a field , discrete mathematics , mathematical analysis , geometry , chemistry , organic chemistry
In this paper, we find some connections between submodules of a module over a group ring RG and subgroups of a group G. Also, we prove that there is a direct connection between conjugate elements of G and RG-submodules of M. Finally, we show that there is a correspondence between the associative powers ?iM(G) of ?M(G) and ith dimension subgroups ?(?i R(G)) of G over R.