Browse > Article
http://dx.doi.org/10.14403/jcms.2013.26.4.703

PRIME AND POISSON PRIME IDEALS IN SKEW EXTENSIONS DETERMINED BY DERIVATIONS  

Myung, No-Ho (Department of Mathematics Chungnam National University)
Oh, Sei-Qwon (Department of Mathematics Chungnam University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.26, no.4, 2013 , pp. 703-706 More about this Journal
Abstract
Let R be a commutative noetherian algebra and let ${\delta}$ be a nonzero derivation. Here we determine the prime ideals of the skew polynomial algebra R[z;${\delta}$] and the Poisson prime ideals of R[z;${\delta}$]p.
Keywords
Poisson polynomial algebra; skew polynomial algebra; prime ideal; Poisson prime ideal;
Citations & Related Records
연도 인용수 순위
  • Reference
1 J. Dixmier, Enveloping algebras, The 1996 printing of the 1977 English trans-lation Graduate Studies in Mathematics, vol. 11, American Mathematical Society, Providence, 1996.
2 K. R. Goodearl, Prime ideals in skew polynomial rings and quantized Weyl algebras, J. Algebra 150 (1992), 324-377.   DOI
3 K. R. Goodearl, A Dixmier-Moeglin equivalence for Poisson algebras with torus actions, in Algebra and Its Applications (D. V. Huynh, S. K. Jain, and S. R. Lopez-Permouth, Eds.) Contemp. Math. 419 (2006), 131-154.   DOI
4 K. R. Goodearl and R. B. Warfield, An introduction to noncommutative noe-therian rings, London Mathematical Society Student Text 16, Cambridge University Press, 1989.
5 S.-Q. Oh, Poisson polynomial rings, Comm. Algebra 34 (2006), 1265-1277.   DOI   ScienceOn
6 S.-Q. Oh, Poisson prime ideals of Poisson polynomial rings, Comm. Algebra 35 (2007), 3007-3012.   DOI   ScienceOn