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Published in:
2020 | OriginalPaper | Chapter
Primary Group Rings
Authors : Mohammed El Badry, Mostafa Alaoui Abdallaoui, Abdelfattah Haily
Published in: Associative and Non-Associative Algebras and Applications
Publisher: Springer International Publishing
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Abstract
A ring R is said to be primary if the Jacobson radical J(R) is nilpotent and the factor ring R/J(R) is simple artinian. The main result of this note is the characterization of the primary group rings of not necessary abelian groups. This generalizes the work of Chin and Qua (Rendiconti del Seminario Matematico della Università di Padova 137:223–228 2017, [1]) in which the author characterizes the primary group rings of abelian groups.