On primitive ideals in graded rings

Research output: Contribution to journalArticlepeer-review

Abstract

Let R = circle plus(infinity)(i=1) Ri be a graded nil ring. It is shown,that primitive ideals in R are homogeneous. Let A = circle plus(infinity)(i=1) Ai be a graded non-PI just-infinite dimensional algebra and let I be a prime ideal in A. It is shown that either I = {0} or I A. Moreover, A is either primitive or Jacobson radical.

Original languageEnglish
Pages (from-to)460-466
Number of pages7
JournalCanadian Mathematical Bulletin
Volume51
Issue number3
DOIs
Publication statusPublished - Sep 2008

Keywords

  • ALGEBRAS

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