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ScienceAsia 35 (2009): 111-112 |doi: 10.2306/scienceasia1513-1874.2009.35.111

Regularity-preserving elements of regular rings

Ronnason Chinram

ABSTRACT:     Let R be a ring and aR. A variant of R with respect to a is a ring R under usual addition and multiplication o defined by x o y = xay for all x, yR. In this paper, we characterize the regularity-preserving elements of regular rings.

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Department of Mathematics, Faculty of Science, Prince of Songkla University, Hat Yai, Songkla 90112, Thailand

* Corresponding author, E-mail: ronnason.c@psu.ac.th

Received 13 May 2008, Accepted 14 Jan 2009