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Monomial conditions on rings

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Abstract

Drazin introduced the notion ofpivotal 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.

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Author notes

  1. Louis Halle Rowen

    Present address: Bar Ilan University, Ramat Gan, Israel

Authors and Affiliations

  1. University of Chicago, Chicago, Illinois, U.S.A.

    Louis Halle Rowen

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  1. Louis Halle Rowen
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Rowen, L.H. Monomial conditions on rings. Israel J. Math. 23, 19–30 (1976). https://doi.org/10.1007/BF02757231

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  • DOI: https://doi.org/10.1007/BF02757231

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