National Changhua University of Education Institutional Repository : Item 987654321/15013

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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/15013

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/15013

Title:	On The Ideals of a Lie Ring of Derivations
Authors:	Liu, Cheng-Kai
Contributors:	數學系
Keywords:	Derivation;D-prime;D-semiprime;Lie ring
Date:	2009-07
Issue Date:	2013-01-07T01:43:51Z
Publisher:	Taylor&Francis
Abstract:	Let R be a commutative ring, and D a Lie subring and an R-submodule of Der(R) such that R is D-semiprime (or D-prime). We investigate the structure of the ideals of D as Lie rings. As a consequence, we give a necessary and sufficient condition for the ideals of D to be semiprime (or prime, respectively) Lie rings.
Relation:	Communications in Algebra, 37(7): 2396-2404
Appears in Collections:	[math] Periodical Articles

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