Title of article :
Weak Annihilator over Extension Rings
Author/Authors :
OUYANG, LUNQUN Hunan University of Science and Technology - Department of Mathematics, China , BIRKENMEIER, GARY F. University of Louisiana at Lafayette - Department of Mathematics, USA
Abstract :
Let R be a ring and nil(R) the set of all nilpotent elements of R. For a subset X of a ring R, we define NR(X) = {a ϵ R j xa ϵ nil(R) for all x ϵ X} ; which is called the weak annihilator of X in R. In this paper we mainly investigate the properties of the weak annihilator over extension rings.
Keywords :
Weak annihilator , nilpotent associated prime , nilpotent good polynomial
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
