A Characterization of QF-3 Rings
- 1 February 1966
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 27 (1) , 7-13
- https://doi.org/10.1017/s0027763000011806
Abstract
A left QF-3 ring R is one in which RR, the ring considered as a left module over itself, can be embedded in a projective infective left R module Q(RR). QF-3 rings were introduced by Thrall [14] and have been studied and characterized by a number of authors [5, 8, 9, 12, 13, 15] usually restricted to the case of algebras over a field. In such a case, the concept of left QF-3 and right QF-3 coincide.The study of QF-3 rings and algebras and many other such classes of rings had its origin in the now classic papers of Nakayama [10, 11]. He was an outstanding pioneer in algebra for many years, and we acknowledge our great debt to him and to his many excellent papers.Keywords
This publication has 8 references indexed in Scilit:
- A characterization of self-injective ringsIllinois Journal of Mathematics, 1966
- A torsion theory for Abelian categoriesTransactions of the American Mathematical Society, 1966
- Finitistic global dimension for ringsPacific Journal of Mathematics, 1965
- Direct products of modulesTransactions of the American Mathematical Society, 1960
- Finitistic dimension and a homological generalization of semi-primary ringsTransactions of the American Mathematical Society, 1960
- Projective injective modulesPacific Journal of Mathematics, 1959
- Algebras with unique minimal faithful representationsDuke Mathematical Journal, 1958
- On Frobeniusean Algebras. IIAnnals of Mathematics, 1941