SEMICOMMUTATIVE PROPERTY ON NILPOTENT PRODUCTS Kim, Nam Kyun; Kwak, Tai Keun; Lee, Yang;
The semicommutative property of rings was introduced initially by Bell, and has done important roles in noncommutative ring theory. This concept was generalized to one of nil-semicommutative by Chen. We first study some basic properties of nil-semicommutative rings. We next investigate the structure of Ore extensions when upper nilradicals are -rigid -ideals, examining the nil-semicommutative ring property of Ore extensions and skew power series rings, where is a ring endomorphism and is a -derivation.
(nil-)semicommutative ring;NI ring;polynomial ring;Ore extension;skew power series ring;
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