26 citations · 31 across the 3 of their papers we have counts for
4 papers · 1 filter
On Polynomial Rings Over Nil Rings in Several Variables and the Central Closure of Prime Nil Rings
Mikhail Chebotar, Wen-Fong Ke, Pjek-Hwee Lee +1
We prove that the ring of polynomials in several commuting indeterminates over a nil ring cannot be homomorphically mapped onto a ring with identity, i.e. it is Brown-McCoy radical…
On the intersection graphs of modules and rings
Jerzy Matczuk, Marta Nowakowska, Edmund R. Puczyłowski
We classify modules and rings with some specific properties of their intersection graphs. In particular, we describe rings with infinite intersection graphs containing maximal left…
A description of quasi-duo Z-graded rings
Andre Leroy, Jerzy Matczuk, Edmund R. Puczylowski
A description of right (left) quasi-duo Z-graded rings is given. It shows, in particular, that a strongly Z-graded ring is left quasi-duo if and only if it is right quasi-duo. This…
Quasi-Duo Skew Polynomial Rings
Andre Leroy, Jerzy Matczuk, Edmund R. Puczylowski
A characterization of right (left) quasi-duo skew polynomial rings of endomorphism type and skew Laurent polynomial rings are given. In particular, it is shown that (1) the polynom…