A description of quasi-duo Z-graded rings

André Leroy (1) , Jerzy Matczuk (2) , Puczylowski Edmund (2)

1 LML - Laboratoire de Mathématiques de Lens
2 Institute of Mathematics [Warsaw]

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 gives a partial answer to a problem posed by Dugas and Lam in [1].

Mots clés: Graded rings; Quasi duo; Polynomial rings

Domaines: Anneaux et algèbres [math.RA]

André Leroy, Jerzy Matczuk, Puczylowski Edmund. A description of quasi-duo Z-graded rings. 2009. ⟨hal-00429128⟩