Yiqiang Zhou: A note on UN-rings, 97-100


A ring is called a $UN$-ring if each nonunit is the product of a unit and a nilpotent. In this short note, answers are provided in response to two questions on $UN$-rings raised by Calugareanu in [1].

Key Words: Nilpotent, unit, UN-ring, matrix ring.

2010 Mathematics Subject Classification: Primary 16U99; Secondary 16S50.

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