[图书][B] Lifting modules: supplements and projectivity in module theory

J Clark, C Lomp, N Vanaja, R Wisbauer - 2008 - books.google.com
Extending modules are generalizations of injective modules and, dually, lifting modules
generalize projective supplemented modules. There is a certain asymmetry in this duality …

Characterizations of semiperfect and perfect rings

W Xue - Publicacions Matematiques, 1996 - JSTOR
We characterize semiperfect modules? semiperfect rings, and perfect rings using locally
projective covers and generalized locally projective covers, where locally projective …

Generalized -supplemented modules

H Çalişici, E Türkmen - Algebra and Discrete Mathematics, 2010 - mathnet.ru
Let $ R $ be a ring and $ M $ be a left $ R $-module. $ M $ is called generalized $\oplus $-
supplemented if every submodule of $ M $ has a generalized supplement that is a direct …

Bass's work in ring theory and projective modules

TY Lam - Algebra, K-theory, groups, and education (New York …, 1999 - books.google.com
The early papers of Hyman Bass in the late 50s and the early 60s leading up to his
pioneering work in algebraic K-theory have played an im-portant and very special role in …

Generalized cofinitely semiperfect modules

MT KOŞAN - International Electronic Journal of Algebra, 2009 - dergipark.org.tr
In the present paper, we define generalized (amply) cofinitely supplemented modules, and
generalized⊕-cofinitely supplemented modules are defined as a generalization of (amply) …

[PDF][PDF] On cofinitely Rad-supplemented modules

E Türkmen, A Pancar - International Journal of Pure and Applied …, 2009 - researchgate.net
Let R be a ring and M be a left R− module. In this work some properties of (amply) cofinitely
Rad-supplemented modules are developed. It is shown that if M contains a nonzero semi …

A generalization of projective covers

M Alkan, WK Nicholson, AÇ Özcan - Journal of Algebra, 2008 - Elsevier
Let M be a left module over a ring R and I an ideal of R. We call (P, f) a projective I-cover of
M if f is an epimorphism from P to M, P is projective, Kerf⊆ IP, and whenever P= Kerf+ X …

On Baer–Kaplansky Classes of Modules

DK Tütüncü, R Tribak - Algebra colloquium, 2017 - World Scientific
We are interested in studying when the class of local modules is Baer–Kaplansky. We
provide an example showing that even over a commutative semisimple ring R, we can find …

On a characterization of perfect rings

N Ding, J Chen - Communications in Algebra, 1999 - Taylor & Francis
On a characterization of perfect rings<xref ref-type='fn' rid='FN0001'> <sup>*</sup> </xref
Page 1 COMMUNICATIONS IN ALGEBRA, 27(2), 785-791 (1999) On a characterization of …

Radikal tümlenmiş ve eş sonlu radikal tümlenmiş modüllerin karakterizasyonları

E Türkmen - 2010 - acikbilim.yok.gov.tr
Bu tezde;(eş-sonlu) Rad-tümlenmiş modül kavramının bazı problemlerine
çözümlerbulunması ve bu modüllerin birimli halkalar ve dedekind bölgeleri üzerinde …