2017年11月20日 |  English version
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Nil-clean rings --- a variant of clean rings

报告题目: Nil-clean rings --- a variant of clean rings

报告人:Yiqiang Zhou,Memorial University of New-Foundland

报告时间:2017年5月22日(周一)14:45-15:25

报告地点:行健楼学术活动室665

邀请人:魏加群 教授

摘要: A clean ring is a ring in which every element is a sum of an idempotent and a unit. Clean rings have been extensively discussed because of their links with topology, functional analysis and K-theory. Within ring theory itself, they are tightly connected to von Neumann regular rings and the exchange property of modules, and are relevant to the famous open question on the exchange property raised by Crawley and Jonsson on 1964 and the famous Kothe conjecture. As an interesting variant of clean rings, a ring is called a (strongly) nil-clean ring if every element is a sum of an idempotent and a nilpotent element (that commute). In this talk, I will speak about some recent work on nil-clean, strongly nil-clean rings as well as some extensions with a focus on their structures and constructions.

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