A description of quasi-duo Z-graded rings
Andre Leroy, Jerzy Matczuk, Edmund R. Puczylowski
TL;DR
This paper characterizes right and left quasi-duo Z-graded rings, showing their equivalence in strongly graded cases, and addresses a problem posed by Dugas and Lam.
Contribution
It provides a comprehensive description of quasi-duo Z-graded rings and establishes the equivalence of left and right quasi-duo properties in strongly graded rings.
Findings
Strongly Z-graded rings are left quasi-duo if and only if they are right quasi-duo.
The paper offers a partial solution to a problem posed by Dugas and Lam.
Provides a characterization of quasi-duo Z-graded rings.
Abstract
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].
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Taxonomy
TopicsAdvanced Topics in Algebra · Rings, Modules, and Algebras · Algebraic structures and combinatorial models