Weakly Clean Rings and Almost Clean Rings
By Myung-Sook Ahn, Daniel D. Anderson. 2006
95 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/dbca75505e962216ce58253cd357167f548caea5
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In Algebra and Number Theory
In Computational Theory and Mathematics
In Geometry and Topology
Citations in the corpus
- Idealization of a Module (2009, background): “McGovern defined a commutative ring to be almost clean if every element is the sum of a regular element and an idempotent and in [2] a commutative ring R is said to be ({0, 1}-)weakly clean if for each x ∈ R, either x = u + e or x = u − e for some unit u and some idempotent e (e ∈ {0, 1}).”
- Commutative weakly nil clean unital rings (2015, background): “12 of [1] the authors looked at the condition of a ring for which R = Id(R) ∪ −Id(R).”