Monomial conditions on rings

Louis Halle Rowen

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Drazin introduced the notion of pivotal monomial, a condition on the evaluations of monomials in a ring, and characterized simple artinian rings as those primitive rings which have pivotal monomials. In this paper we consider monomial conditions related to pivotal monomials. The two major results are a characterization of prime Goldie rings in terms of pivotal monomials, and a characterization of the socle of a primitive ring in terms of generalized pivotal monomials.

Original languageEnglish
Pages (from-to)19-30
Number of pages12
JournalIsrael Journal of Mathematics
Issue number1
StatePublished - Mar 1976
Externally publishedYes


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