Minimal spectrum and the radical of Chinese algebras

Ferran Cedó, Jan Okniński

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (Scopus)

Abstract

It is shown that every minimal prime ideal of the Chinese algebra of any finite rank is generated by a finite set of homogeneous elements of degree 2 or 3. A constructive way of producing minimal generating sets of all such ideals is found. As a consequence, it is shown that the Jacobson radical of the Chinese algebra is nilpotent. Moreover, the radical is not finitely generated if the rank of the algebra exceeds 2. © 2012 Springer Science+Business Media B.V.
Original languageEnglish
Pages (from-to)905-930
JournalAlgebras and Representation Theory
Volume16
DOIs
Publication statusPublished - 1 Aug 2013

Keywords

  • Chinese algebra
  • Finitely presented
  • Jacobson radical
  • Minimal prime ideal
  • Nilpotent radical
  • Semigroup ring

Fingerprint

Dive into the research topics of 'Minimal spectrum and the radical of Chinese algebras'. Together they form a unique fingerprint.

Cite this