On Generalized p.q.-Baer $*$-rings
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866912567178297344 |
|---|---|
| author | More, Sanjay Khairnar, Anil |
| author_facet | More, Sanjay Khairnar, Anil |
| contents | We introduced the class of weakly generalized p.q.-Baer $*$-rings. It is proved that under some assumptions every weakly generalized p.q.-Baer $*$-ring can be embedded in generalized p.q.-Baer $*$-ring. We proved that a generalized p.q.-Baer $*$-rings has partial comparability. If a generalized p.q.-Baer $*$-ring satisfies the parallelogram law then it is proved that every pair of projections has an orthogonal decomposition. A separation theorem for generalized p.q.-Baer $*$-rings is obtained. As an application of spectral theory, it is proved that generalized p.q.-Baer $*$-rings have a sheaf representation with injective sections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02584 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Generalized p.q.-Baer $*$-rings More, Sanjay Khairnar, Anil Rings and Algebras Combinatorics Operator Algebras Primary 16W10, Secondary 16D25 We introduced the class of weakly generalized p.q.-Baer $*$-rings. It is proved that under some assumptions every weakly generalized p.q.-Baer $*$-ring can be embedded in generalized p.q.-Baer $*$-ring. We proved that a generalized p.q.-Baer $*$-rings has partial comparability. If a generalized p.q.-Baer $*$-ring satisfies the parallelogram law then it is proved that every pair of projections has an orthogonal decomposition. A separation theorem for generalized p.q.-Baer $*$-rings is obtained. As an application of spectral theory, it is proved that generalized p.q.-Baer $*$-rings have a sheaf representation with injective sections. |
| title | On Generalized p.q.-Baer $*$-rings |
| topic | Rings and Algebras Combinatorics Operator Algebras Primary 16W10, Secondary 16D25 |
| url | https://arxiv.org/abs/2509.02584 |