26 citations · 27 across the 6 of their papers we have counts for
6 papers · 1 filter
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…
Ore extensions satisfying a polynomial identity
A. Leroy, J. Matczuk
Necessary and sufficient conditions for an Ore extension $S=R[x;\si,\de]$ to be a {\rm PI} ring are given in the case $\si$ is an injective endomorphism of a semiprime ring sat…
Wedderburn polynomials over division rings, II
T. Y. Lam, A. Leroy, A. Ozturk
A polynomial in an Ore extension over a division ring is a Wedderburn polynomial if is monic and is the minimal polynomial of an algebraic subset of $K…
Algebraic and F-Independent sets in 2-firs
A. Leroy, A. Ozturk
Let denote a 2-fir. The notions of F-independence and algebraic subsets of R are defined. The decomposition of an algebraic subset into similarity classes gives a simple way of…
Goldie conditions for Ore extensions over semiprime rings
A. Leroy, J. Matczuk
Let be a ring, an injective endomorphism of and a -derivation of . We prove that if is semiprime left Goldie then the same holds for the Ore extension $R[…