Graded quasi-Baer $\ast$-ring characterization of Steinberg algebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913342406262784 |
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| 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 |