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Journals / International Electronic Journal of Algebra / 2026 / Volume: 37 Issue: 37

Unitification of weakly Rickart and weakly p.q.-Baer *-rings

Sanjay More(Anantrao Pawar College)
Anil Khairnar(Abasaheb Garware College)
B. N. Waphare(Savitribai Phule Pune University)
Pages
—
Publication Date
2025-01-14
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this paper, we give more general partial solutions to both the problems.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Berberian raised the problem ``Can every weakly Rickart $*$-ring be embedded in a Rickart $*$-ring with preservation of right projections?".
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Key Findings & Data:Berberian has given a partial solution to this problem.
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Conclusion & Impact:In this paper, we give more general partial solutions to both the problems.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Weakly Rickart $*$-ring · weakly p.q.-Baer $*$-ring · projection

Abstract

S. K. Berberian raised the 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.

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Cite This Article

More, S., Khairnar, A., Waphare, B. N. (2025). Unitification of weakly Rickart and weakly p.q.-Baer *-rings. International Electronic Journal of Algebra, Volume: 37 Issue: 37. https://doi.org/10.24330/ieja.1518558

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