Projectivity relative to closed (neat) submodules
Y Durğun - Journal of Algebra and Its Applications, 2022 - World Scientific
An R-module F is called closed (neat) projective if, for every closed (neat) submodule L of
every R-module M, every homomorphism from F to M/L lifts to M. In this paper, we study …
every R-module M, every homomorphism from F to M/L lifts to M. In this paper, we study …
Rings over which cyclics are direct sums of projective and CS or Noetherian
CJ Holston, SK Jain, A Leroy - Glasgow Mathematical Journal, 2010 - cambridge.org
R is called a right WV-ring if each simple right R-module is injective relative to proper cyclics.
If R is a right WV-ring, then R is right uniform or a right V-ring. It is shown that a right WV-ring …
If R is a right WV-ring, then R is right uniform or a right V-ring. It is shown that a right WV-ring …
On some classes of artinian rings
D Van Huynh, ST Rizvi - Journal of Algebra, 2000 - Elsevier
A module M is called a CS-module if every submodule of M is essential in a direct summand
of M. A ring R is called CS-semisimple if every right R-module is CS. For a ring R, we show …
of M. A ring R is called CS-semisimple if every right R-module is CS. For a ring R, we show …
Conditions for a ring to be noetherian or artinian
S Plubtieng, H Tansee - Communications in Algebra, 2002 - Taylor & Francis
Full article: Conditions for a ring to be Noetherian or Artinian Skip to Main Content Taylor
and Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home …
and Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home …
-semisimple modules and type submodules
In this paper, we introduce the concept of p-semisimple modules. We prove that a
multiplication reduced module is p-semisimple if and only if it is a Baer module. We show …
multiplication reduced module is p-semisimple if and only if it is a Baer module. We show …
Strongly semihereditary rings and rings with dimension
L Vaš - Algebras and representation theory, 2012 - Springer
The existence of a well-behaved dimension of a finite von Neumann algebra (see Lück, J
Reine Angew Math 495: 135–162, 1998) has lead to the study of such a dimension of finite …
Reine Angew Math 495: 135–162, 1998) has lead to the study of such a dimension of finite …
Decompositions of modules into projective modules and CS-modules
S Plubtieng - Bulletin of the Australian Mathematical Society, 2000 - cambridge.org
Let M be a right R-module. It is shown that M is a locally Noetherian module if every finitely
generated module in σ [M] is a direct sum of a projective module and a CS-module …
generated module in σ [M] is a direct sum of a projective module and a CS-module …
Injectivity and Some of Its Generalizations
GF Birkenmeier, JK Park, ST Rizvi… - Extensions of Rings and …, 2013 - Springer
Conditions which generalize injective modules and which relate to this notion are presented
in this chapter. The notions of extending, quasi-continuous and continuous modules are …
in this chapter. The notions of extending, quasi-continuous and continuous modules are …
[图书][B] Rings Characterized by Their Modules
CJ Holston - 2011 - search.proquest.com
A ring R is called a right WV-ring if each simple right R-module is injective relative to proper
cyclics. A right WV-ring which is not a right V-ring is called a right strictly WV-ring. A right …
cyclics. A right WV-ring which is not a right V-ring is called a right strictly WV-ring. A right …