English

On Unitification of $*$-rings

Rings and Algebras 2024-03-29 v1 Combinatorics Operator Algebras

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.

Cite

@article{arxiv.2403.18880,
  title  = {On Unitification of $*$-rings},
  author = {Sanjay More and Anil Khairnar and B. N. Waphare},
  journal= {arXiv preprint arXiv:2403.18880},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:1612.01681

R2 v1 2026-06-28T15:36:01.307Z