QF-3 rings

CM Ringel, H Tachikawa - J. reine angew. Math, 1975 - degruyter.com
In this paper, by a left QF-3 ring we shall always understand a ring with a (unique) minimal
faithful left module, and by a QF-3 ring we mean a ring which is both left and right QF-3 …

Semiartinian V-rings and semiartinian von Neumann regular rings

G Baccella - Journal of Algebra, 1995 - Elsevier
Semiartinian right V-rings, which we call right SV-rings, form a special class of Von
Neumann regular rings. We characterize these rings by the fact that every factor ring imbeds …

Generalizations of 𝑄𝐹-3 algebras

RR Colby, EA Rutter - Transactions of the American Mathematical Society, 1971 - ams.org
This paper consists of three parts. The first is devoted to investigating the equivalence and
left-right symmetry of several conditions known to characterize finite dimensional algebras …

Characterization of rings using extending and lifting modules

N Vanaja - Ring Theory, 1993 - World Scientific
H-rings and Co-H-rings have been defined by K. Oshiro in [9]. A ring R is a right H-ring (Co-
H-ring) iff every injective (projective) right R-module is lifting (extending). A right H-ring or a …

Noetherian QF-3 rings and two-sided quasi-Frobenius maximal quotient rings

K Morita - Proceedings of the Japan Academy, 1970 - jstage.jst.go.jp
The notion of QF-3 rings was introduced originally by RM Thrall [13] for the case of finite
dimensional algebras over a field. Recently this notion has been extended to the case of …

Semiprime ℵ-QF3 rings

G Baccella - Pacific Journal of Mathematics, 1985 - msp.org
A ring R (associative with identity) is called right ℵ-QF 3 if it has a faithful right ideal which is
a direct sum of a family of injective envelopes of pairwise non-isomorphic simple right R …

[PDF][PDF] On dominant modules and dominant rings

Y Kawada - Journal of Algebra, 1979 - core.ac.uk
In [ll] Kato introduced a notion of dominant modules: Let A be a ring, W, a faithful, finitely
generated projective module, and B= End (W,) the endomorphism ring of W,. Then he called …

Dominant modules and finite localizations

EA Rutter Jr - Tohoku Mathematical Journal, Second Series, 1975 - jstage.jst.go.jp
Colby and Rutter [6] proved that a ring R contains an essential left socle and an essential
right socle and has a two sided semi-simple maximal (complete) quotient ring if and only if R …

A characterization of Nakayama rings

H Kupisch - Communications in Algebra, 1995 - Taylor & Francis
A characterization of nakayama rings Page 1 COMMUNICATIONS IN ALGEBRA, 23(2), 739-741
(1995) A Characterization of Nakayama Rings. Herbert Kupisch Freie Universitat 11. Math …

QF-3 rings.

H Tachikawa, CM Ringel - 1975 - degruyter.com
In this paper, by a left QF-3 ring we shall always understand a ring with a (unique) minimal
faithful left module, and by a QF-3 ring we mean a ring which is both left and right QF-3 …