On Unitification of $*$-rings
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866929293562478592 |
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| author | More, Sanjay Khairnar, Anil Waphare, B. N. |
| author_facet | More, Sanjay Khairnar, Anil Waphare, B. N. |
| contents | S. K. Berberian raised the open problem ``Can every weakly Rickart $*$-ring be embedded in a Rickart $*$-ring? with preservation of right projections?" Berberian has given a partial solution to this problem. Khairnar and Waphare raised a similar problem for p.q.-Baer $*$-rings and gave a partial solution. In this paper, we give more general partial solutions to both the problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_18880 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Unitification of $*$-rings More, Sanjay Khairnar, Anil Waphare, B. N. Rings and Algebras Combinatorics Operator Algebras S. K. Berberian raised the open problem ``Can every weakly Rickart $*$-ring be embedded in a Rickart $*$-ring? with preservation of right projections?" Berberian has given a partial solution to this problem. Khairnar and Waphare raised a similar problem for p.q.-Baer $*$-rings and gave a partial solution. In this paper, we give more general partial solutions to both the problems. |
| title | On Unitification of $*$-rings |
| topic | Rings and Algebras Combinatorics Operator Algebras |
| url | https://arxiv.org/abs/2403.18880 |