On submodules of modules over group rings | Zendy

Ortaç Öneş | Zendy; Mustafa Alkan | Zendy; Mehmet Uç | Zendy

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On 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.

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