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On Semiregular Rings whose Finitely Generated Modules Embed in Free Modules

Published online by Cambridge University Press:  20 November 2018

Juan Rada  and
Manuel Saorin
Juan Rada
Affiliation:
Departamento de Matemáticas Universidad de Los Andes Mérida, Venezuela e-mail: juanrada@ciens.ula.ve
Manuel Saorin
Affiliation:
Departamento de Matemáticas Universidad de Murcia. Aptdo. 4021 30100 Espinardo, Murcia Spain e-mail: msaorinc@fcu.um.es
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Abstract

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We consider rings as in the title and find the precise obstacle for them not to be Quasi-Frobenius, thus shedding new light on an old open question in Ring Theory. We also find several partial affirmative answers for that question.

Keywords

Primary: 16D1016L60Secondary: 16N20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 40 , Issue 2 , 01 June 1997 , pp. 221 - 230
Copyright
Copyright © Canadian Mathematical Society 1997

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