A pi-algebra which is not pi when an inverse is adjoined

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2 Scopus citations


An example is produced of an algebra, embedded in 2 × 2 matrices over a field, which is not PI when an element’s inverse is formally adjoined. This example is used to show that the generic 2 × 2 matrices, a domain, has the same property.

Original languageEnglish (US)
Pages (from-to)11-13
Number of pages3
JournalProceedings of the American Mathematical Society
Issue number1
StatePublished - Aug 1979


  • Noncommutative localization
  • Polynomial identity algebra

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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