A ring is said to be right （resp., left） regular-duo if every right （resp., left） regular element is regular. The structure of one-sided regular elements is studied in various kinds of rings, especially, upper tri...A ring is said to be right （resp., left） regular-duo if every right （resp., left） regular element is regular. The structure of one-sided regular elements is studied in various kinds of rings, especially, upper triangular matrix rings over one-sided Ore domains. We study the structure of （one-sided） regular-duo rings, and the relations between one-sided regular-duo rings and related ring theoretic properties.展开更多
文摘A ring is said to be right （resp., left） regular-duo if every right （resp., left） regular element is regular. The structure of one-sided regular elements is studied in various kinds of rings, especially, upper triangular matrix rings over one-sided Ore domains. We study the structure of （one-sided） regular-duo rings, and the relations between one-sided regular-duo rings and related ring theoretic properties.
