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Rings With Comparability

Published online by Cambridge University Press:  20 November 2018

Miguel Ferrero
Affiliation:
Instituto de Matemática Universidade Federal do Rio Grande do Sul 91509-900, Porto Alegre, Brazil, email: ferrero@mat.ufrgs.br
Alveri Sant’Ana
Affiliation:
Instituto de Matemática Universidade Federal do Rio Grande do Sul 91509-900, Porto Alegre, Brazil, email: alveri@mat.ufrgs.br
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Abstract

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The class of rings studied in this paper properly contains the class of right distributive rings which have at least one completely prime ideal in the Jacobson radical. Amongst other results we study prime and semiprime ideals, right noetherian rings with comparability and prove a structure theorem for rings with comparability. Several examples are also given.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1999

References

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