Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A note on quasi-Frobenius rings


Authors: Dinh Van Huynh and Ngo Si Tung
Journal: Proc. Amer. Math. Soc. 124 (1996), 371-375
MSC (1991): Primary 16L60, 16D50
MathSciNet review: 1322929
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that a semiperfect ring $R$ is quasi-Frobenius if and only if every closed submodule of $R(\omega )$ is non-small, where $R(\omega )$ denotes the direct sum of $\omega $ copies of the right $R$-module $R$ and $\omega $ is the first infinite ordinal.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 16L60, 16D50

Retrieve articles in all journals with MSC (1991): 16L60, 16D50


Additional Information

Dinh Van Huynh
Affiliation: Institute of Mathematics, P. O. Box 631 Boho, Hanoi, Vietnam

Ngo Si Tung
Affiliation: Institute of Mathematics, P. O. Box 631 Boho, Hanoi, Vietnam
Email: huynh@math.ohio-state.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03303-5
PII: S 0002-9939(96)03303-5
Keywords: Closed submodules, small modules, non-small modules, quasi-\linebreak Frobenius rings
Received by editor(s): August 22, 1994
Communicated by: Ken Goodearl
Article copyright: © Copyright 1996 American Mathematical Society