On purely extending modules

J Clark - Abelian Groups and Modules: International Conference …, 1999 - Springer
On purely extending modules Page 1 Trends in Mathematics, © 1999 BirkhäuserVerlag
BaseJlSwitzeriand On purely extending modules John Clark * Abstract This note considers a …

Rings whose modules are weakly supplemented are perfect. Applications to certain ring extensions

E BÜYÜKAŞIK, C Lomp - Mathematica scandinavica, 2009 - JSTOR
RINGS WHOSE MODULES ARE WEAKLY SUPPLEMENTED ARE PERFECT. APPLICATIONS
TO CERTAIN RING EXTENSIONS Page 1 MATH. SC AND. 105 (2009), 25-30 RINGS WHOSE …

Modules which are extending relative to module classes

S Dogruöz, PF Smith - Communications in Algebra, 1998 - Taylor & Francis
Modules which are extending relative to module classes Page 1 COMMUNICATIONS IN
ALGEBRA, 26(6), 1699- 172 1 (1998) MODULES WHICH ARE EXTENDING RELATIVE TO …

[引用][C] Endomorphism rings of hereditary modules

DA Hill - Archiv der Mathematik, 1977 - Springer
Introduction. A ring is called left (right) hereditary in case each left (right) ideal is projective.
Such rings have been studied extensively, and the property of being left hereditary is …

[PDF][PDF] On a generalization of semiperfect modules

S Nakahara - 1983 - projecteuclid.org
In this paper we shall generalize the notion of semiperfect modules in terms of preradicals,
and show that almost all properties of semiperfect modules are preserved under this …

On the dimension of modules and algebras, x: a right hereditary ring which is not left hereditary

I Kaplansky - Nagoya Mathematical Journal, 1958 - cambridge.org
ON THE DIMENSION OF MODULES AND ALGEBRAS, X Page 1 ON THE DIMENSION OF
MODULES AND ALGEBRAS, X A RIGHT HEREDITARY RING WHICH IS NOT LEFT …

Dualities and pure semisimple rings

D Simson - Abelian Groups, Module Theory, and Topology, 2019 - api.taylorfrancis.com
Throughout this paper we assume that R is a connected basic ring with an identity element.
We denote by J (R) the Jacobson radical of R. We recall that R is said to be connected if R is …

[PDF][PDF] Finitely Presented Right Modules Over a Left Pure‐Semisimple Ring

I Herzog - Bulletin of the London Mathematical Society, 1994 - academia.edu
In this note, we study rings over which every left module is a direct sum of finitely generated
modules. Chase [5] showed that all such rings are left artinian and Fuller [8] proved that …

The singular submodule of a finitely generated module splits off

J Fuelberth, M Teply - Pacific Journal of Mathematics, 1972 - msp.org
A characterization is given of the finitely generated nonsingular left R-modules N such that
Ext R 1 (N, M)= 0 for every singular left R-module M. As a corollary, the rings R, over which …

[PDF][PDF] Almost hereditary rings

M Harada - 1991 - projecteuclid.org
A. Tozaki and the author defined almost relative projective modules in [5], and the author
has given a new concept of almost projective modules in [6]. On the other hand, we know …