Orest D. Artemovych, Maria P. Lukashenko, “Lie and Jordan structures of differentially semiprime rings”, Algebra Discrete Math., 2015, Volume 20, Issue 1,Pages <nobr>13

This article is cited in 3 papers

RESEARCH ARTICLE

Lie and Jordan structures of differentially semiprime rings

Orest D. Artemovych^a, Maria P. Lukashenko^b

^a Institute of Mathematics, Tadeusz Kościuszko Cracow University of Technology
^b Faculty of Mathematics and Informatics, Vasyl Stefanyk Precarpathian National University

Abstract: Properties of Lie and Jordan rings (denoted respectively by $R^L$ and $R^J$) associated with an associative ring $R$ are discussed. Results on connections between the differentially simplicity (respectively primeness, semiprimeness) of $R$, $R^L$ and $R^J$ are obtained.

Keywords: derivation, semiprime ring, Lie ring.

MSC: Primary 16W25, 16N60; Secondary 17B60, 17C50

Received: 22.01.2015
Revised: 22.03.2015

Language: English