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arXiv · 2403.18880

On Unitification of $*$-rings

Sanjay More·Anil Khairnar·B. N. Waphare
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Abstract

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.

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Sanjay More, Anil Khairnar, B. N. Waphare. 2024-03-27. On Unitification of $*$-rings. https://arxiv.org/abs/2403.18880

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