MORPHIC PROPERTY OF A QUOTIENT RING OVER POLYNOMIAL RING

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 50, Issue 5, 2013, pp.1433-1439
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2013.50.5.1433

Title & Authors

MORPHIC PROPERTY OF A QUOTIENT RING OVER POLYNOMIAL RING

Long, Kai; Wang, Qichuan; Feng, Lianggui;

Long, Kai; Wang, Qichuan; Feng, Lianggui;

Abstract

A ring R is called left morphic if for every . Equivalently, for every there exists such that and . A ring R is called left quasi-morphic if there exist and in R such that and for every . A result of T.-K. Lee and Y. Zhou says that R is unit regular if and only if is morphic. Motivated by this result, we investigate the morphic property of the ring , where . The morphic elements of are completely determined when R is strongly regular.

Keywords

morphic property;polynomial ring;strongly regular;

Language

English

References

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T.-K. Lee and Y. Zhou, Morphic rings and unit regular rings, J. Pure Appl. Algebra 210 (2007), no. 2, 501-510.