TY  - JOUR
T1  - Unitification of weakly Rickart and weakly p.q.-Baer *-rings
AU  - Khairnar, Anil
AU  - More, Sanjay
AU  - Waphare, B. N.
PY  - 2025
DA  - January
Y2  - 2024
DO  - 10.24330/ieja.1518558
JF  - International Electronic Journal of Algebra
JO  - IEJA
PB  - Abdullah HARMANCI
WT  - DergiPark
SN  - 1306-6048
SP  - 179
EP  - 189
VL  - 37
IS  - 37
LA  - en
AB  - 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.
KW  - Weakly Rickart $*$-ring
KW  - weakly p.q.-Baer $*$-ring
KW  - projection
KW  - central cover
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UR  - https://doi.org/10.24330/ieja.1518558
L1  - https://dergipark.org.tr/en/download/article-file/4080720
ER  -