… We mention one further fact about semi-artinian … In this section we give a method for
producing many examples of semi-artinian V-modules. A ring R is called right semi-artinian …

… Namely, we show that for a right semi-artinian ring R, every … In this note we show that all
right semi-artinian right V rings … For a right semi-artinian ring R the following conditions are …

… semi-Artinian iff every right R-module is semi-poor and R has a semisimple semi-poor right
module iff the only locally Noetherian right V -modules … iff R is a right semi-Artinian ring. In this …

… Then A is a right semi-Artinian right V-ring ~, ,'A is a left semi-Artinian left V-ring J, ',A is a
regular right and left semi-Artinian ring. (5) Let A be a right semi-Artinian right V-ring whose …

… We prove that if R is a right semi-Artinian ring, then R is an … and, for a wide class of right
semi-Artinian rings, which we call nice, … to SimpR for some nice right semi-Artinian ring R.  2002 …

All rings will be commutative with identity. A module M is called Π-semiartinian if the direct
product MI is a semiartinian module for every nonempty set I. A ring R is said to be Π-…

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 as a …

… We saw above in Proposition 1.18 that if a ring R is a right semi-artinian right V-ring then
every right R-module is slightly compressible. Note that right V-rings have zero Jacobson …

… be a finitely generated, projective, semi-artinian module. Then the following conditions are
… is also semi-artinian. Since S is fully right idempotent (Proposition 3.13), S is regular by [7, …

… A module is said to be semi-Artinian if each of its nonzero factor modules is an essential
extension of a semisimple module. A ring A is said to be semilocal if the factor ring A/J(A) is an …