26 citations · 27 across the 14 of their papers we have counts for
19 papers
Critical and injective modules over skew polynomial rings
Ken Brown, Paula A. A. B. Carvalho, Jerzy Matczuk
Let be a commutative local -algebra of Krull dimension one, where is a field. Let be a -algebra automorphism of , and define to be the skew polynomial alge…
Stable range one for rings with central units
Paula A. A. B. Carvalho, Christian Lomp, Jerzy Matczuk
The purpose of this paper is to give a partial positive answer to a question raised by Khurana et al. as to whether a ring with stable range one and central units is commutativ…
Sum-Essential Graphs of Modules
Jerzy Matczuk, Ali Majidinya
The sum-essential graph of a left -module is a graph whose vertices are all nontrivial submodules of and two distinct submodules are adjacent iff th…
On Fusible Rings
M. Tamer Kosan, Jerzy Matczuk
We answer in negative two of questions posed in [4]. We also establish a new characterization of semiprime left Goldie rings by showing that a semiprime ring R is left Goldie iff i…
n-Torsion Clean Rings
Peter Danchev, Jerzy Matczuk
Let n be an arbitrary natural number. The class of (strongly) n-torsion clean rings is introduced and investigated. Abelian n-torsion clean rings are somewhat characterized and a c…
On UJ-rings
M. Tamer Kosan, Andre Leroy, Jerzy Matczuk
UJ-rings are studied, i.e. ring in which all units can be presented in a form 1 + x, for some x\in J(R). The behavior of UJ-rings under various algebraic construction is investigat…