Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.02997 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913342406262784 |
|---|---|
| author | Ahmadi, Morteza Moussavi, Ahmad |
| author_facet | Ahmadi, Morteza Moussavi, Ahmad |
| contents | Given a graded ample, Hausdorff groupoid $G$, and an involutive field $K$, we consider the Steinberg algebra $A_K(G)$. We obtain necessary and sufficient conditions on $G$ under which the annihilator of any graded ideal of $A_K(G)$ is generated by a homogeneous projection. This property is called graded quasi-Baer $\ast$. We use the Steinberg algebra model to characterize graded quasi-Baer $\ast$ Leavitt path algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_02997 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Graded quasi-Baer $\ast$-ring characterization of Steinberg algebras Ahmadi, Morteza Moussavi, Ahmad Rings and Algebras Given a graded ample, Hausdorff groupoid $G$, and an involutive field $K$, we consider the Steinberg algebra $A_K(G)$. We obtain necessary and sufficient conditions on $G$ under which the annihilator of any graded ideal of $A_K(G)$ is generated by a homogeneous projection. This property is called graded quasi-Baer $\ast$. We use the Steinberg algebra model to characterize graded quasi-Baer $\ast$ Leavitt path algebras. |
| title | Graded quasi-Baer $\ast$-ring characterization of Steinberg algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2405.02997 |