SEMICOMMUTATIVE PROPERTY ON NILPOTENT PRODUCTS

Title & Authors
SEMICOMMUTATIVE PROPERTY ON NILPOTENT PRODUCTS
Kim, Nam Kyun; Kwak, Tai Keun; Lee, Yang;

Abstract
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 $\small{{\sigma}}$-rigid $\small{{\delta}}$-ideals, examining the nil-semicommutative ring property of Ore extensions and skew power series rings, where $\small{{\sigma}}$ is a ring endomorphism and $\small{{\delta}}$ is a $\small{{\sigma}}$-derivation.
Keywords
(nil-)semicommutative ring;NI ring;polynomial ring;Ore extension;skew power series ring;
Language
English
Cited by
1.
SYMMETRY OVER CENTERS,;;;;

호남수학학술지, 2015. vol.37. 4, pp.377-386
1.
SYMMETRY OVER CENTERS, Honam Mathematical Journal, 2015, 37, 4, 377
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