Yi Zhong, Cheng Fuchang
Abstract
Dual to the Jacobson radical of crossed products, some properties about the socle of crossed products are proved. Specifically, we prove that for a ring R, a finite group G and a crossed product s =R*G
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Dual to the Jacobson radical of crossed products, some properties about the socle of crossed products are proved. Specifically, we prove that for a ring R, a finite group G and a crossed product s =R*G
Key concepts: Socle, Mathematics, Jacobson radical, Ring (chemistry), Product (mathematics), Crossed product, Dual (grammatical number), Group (periodic table)