A NOTE ON QUASI-FROBENIUS RINGS

Authors
VANHUYNH D TUNG NS
Citation
D. Vanhuynh et Ns. Tung, A NOTE ON QUASI-FROBENIUS RINGS, Proceedings of the American Mathematical Society, 124(2), 1996, pp. 371-375
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
2
Year of publication
1996
Pages
371 - 375
Database
ISI
SICI code
0002-9939(1996)124:2<371:ANOQR>2.0.ZU;2-3
Abstract
It is shown that a semiperfect ring R is quasi-Frobenius if and only i f every closed submodule of R(omega) is non-small, where R(omega) deno tes the direct sum of omega copies of the right R-module R and omega i s the first infinite ordinal.