On two questions of Nicholson

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چکیده

We show that a ring $R$ has stable range one if and only every left unit lifts modulo principal ideal. also quasi-morphic it is uniquely generated. Thus we answer in the affirmative two questions raised by W. K. Nicholson.

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ژورنال

عنوان ژورنال: International Electronic Journal of Algebra

سال: 2022

ISSN: ['1306-6048']

DOI: https://doi.org/10.24330/ieja.1058418