carpathian_2016_32_2_251_258_abstractcarpathian_2016_32_2_251_258Let 
be a ring with the set of nilpotents 
. We prove that the following are equivalent:
(i) is additively closed,
(ii) is multiplicatively closed and satisfies K\”othe’s conjecture,
(iii) is closed under the operation 
,
(iv) is a subring of .
Some applications and examples of rings with this property are given, with
an emphasis on certain classes of exchange and clean rings.
| Author(s) | Šter, Janez |
|---|
The approximate solution of the general split variational inequality problem by intermixed iteration
Collectively coincidence results for lower semicontinuous multifunctions in locally convex spaces
Second-order necessary conditions for bilevel programs via KKT reformulation
An inertial method for solving the split equality fixed point problem with multiple output sets
Asymptotic modeling of non-linear viscopiezoelectric Kelvin-Voigt type plates via Trotter theory
Properties of isocompact spaces in topological groups
Two generalized cyclic projection algorithms for solving a class of the split feasibility problem in real Hilbert spaces
Global-fixed-point property of gyrogroup actions
On simple normal structure and best proximity points in reflexive Banach space
Unified Convergence Analysis of Certain At Least Fifth Order Methods
