[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2019.32.2.191

INJECTIVE HULL OF AN ORE EXTENSION OVER A DIVISION RING

Cho, Eun-Hee (Department of Mathematics, Chungnam National University)
Oh, Sei-Qwon (Department of Mathematics, Chungnam National University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.32, no.2, 2019 , pp. 191-193 More about this Journal

Abstract

It is shown that a left Ore extension $$D[x;{\sigma}$ $]$ $$$ over a division ring D is a left Goldie ring with no zero-divisor and that its left Goldie quotient is an injective hull of $$D[x;{\sigma}$ $]$ $$$ .

Keywords

Ore extension; injective hull;

Citations & Related Records

Reference

1	K. R. Goodearl and R. B. Warfield, An introduction to noncommutative noetherian rings, Second ed., London Mathematical Society Student Text 61, Cambridge University Press, Cambridge, 2004.