We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Quasi-Baer -Ring Characterization of Leavitt Path Algebras.
- Authors
Ahmadi, M.; Moussavi, A.
- Abstract
We say that a graded ring ( -ring) is a graded quasi-Baer ring (graded quasi-Baer -ring) if, for each graded ideal of , the right annihilator of is generated by a homogeneous idempotent (projection). We prove that a Leavitt path algebra is quasi-Baer (quasi-Baer ) if and only if it is graded quasi-Baer (graded quasi-Baer ). We show that a Leavitt path algebra is quasi-Baer (quasi-Baer ) if its zero component is quasi-Baer (quasi-Baer ). However, we give some example that showing that the converse implication fails. Finally, we characterize the Leavitt path algebras that are quasi-Baer -rings in terms of the properties of the underlying graph.
- Subjects
ALGEBRA; POLYNOMIAL rings
- Publication
Siberian Mathematical Journal, 2024, Vol 65, Issue 3, p648
- ISSN
0037-4466
- Publication type
Article
- DOI
10.1134/S0037446624030145