[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2018.31.1.47

A NATURAL MAP ON AN ORE EXTENSION

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.31, no.1, 2018 , pp. 47-52 More about this Journal

Abstract

Let ${\delta}$ be a derivation in a noetherian integral domain A. It is shown that a natural map induces a homeomorphism between the spectrum of $$A[z;{\delta}$ $]$ $$$ and the Poisson spectrum of $$A[z;{\delta}$ $]$ $_p$$ such that its restriction to the primitive spectrum of $$A[z;{\delta}$ $]$ $$$ is also a homeomorphism onto the Poisson primitive spectrum of $$A[z;{\delta}$ $]$ $_p$$ .

Keywords

Poisson algebra; skew polynomial algebra; prime ideal; Poisson prime ideal;

Citations & Related Records

Reference

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