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EXTENSIONS OF McCOY'S THEOREM

Published online by Cambridge University Press:  04 December 2009

CHAN YONG HONG ,
NAM KYUN KIM  and
YANG LEE
CHAN YONG HONG
Affiliation:
Department of Mathematics and Research Institute for Basic Sciences, Kyung Hee University, Seoul 131-701, Korea e-mail: hcy@khu.ac.kr
NAM KYUN KIM*
Affiliation:
College of Liberal Arts and Sciences, Hanbat National University, Daejeon 305-719, Korea e-mail: nkkim@hanbat.ac.kr
YANG LEE
Affiliation:
Department of Mathematics Education, Pusan National University, Pusan 609-735, Korea e-mail: ylee@pusan.ac.kr
*
*Corresponding author.
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Abstract

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McCoy proved that for a right ideal A of S = R[x1, . . ., xk] over a ring R, if rS(A) ≠ 0 then rR(A) ≠ 0. We extend the result to the Ore extensions, the skew monoid rings and the skew power series rings over non-commutative rings and so on.

Keywords

Primary: 16S3616N60Secondary: 13B2516W20
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 52 , Issue 1 , January 2010 , pp. 155 - 159
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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