Rings whose units commute with nilpotent elements

Q4 Mathematics

Mathematica Pub Date : 2018-10-01 DOI:10.24193/mathcluj.2018.2.03

G. Călugăreanu

引用次数: 3

Abstract

Rings with the property in the title are studied under the name of ”uni” rings. These are compared with other known classes of rings and since commutative rings and reduced rings trivially have this property, conditions which added to uni rings imply commutativity or reduceness are found. MSC 2010. 13C99, 16D80, 16U80

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单位与幂零元交换的环

标题中具有性质的环是在“uni”环的名称下研究的。将它们与其他已知的环类进行了比较，由于交换环和约化环平凡地具有这一性质，因此发现了加到单环上意味着交换性或可约性的条件。MSC 2010。13C99、16D80、16U80

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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