Nil clean rings
By A. Diesl. 2013
266 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/32b10ad7c7c492ff73cc748821d290ceb6c085b1
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In Algebra and Number Theory
In Computational Theory and Mathematics
In Geometry and Topology
Citations in the corpus
- Nil-clean matrix rings (2013, background): “Incidentally (note that this study began far before the apparition of [3], in an attempt to characterize Abelian groups which have (strongly) nil-clean endomorphism ring), this achievement provides a partial affirmative answer to a question asked in [3, Question 3]: “Let R be a nil-clean ring, and l”
- Rings in which Every Element is a Sum of Two Tripotents (2016, background): “Following [1], an element of a ring is called strongly nil clean if it is the sum of an idempotent and a nilpotent element that commute with each other, and the ring is called strongly nil clean if each of its elements is strongly nil clean.”
- Commutative weakly nil clean unital rings (2015, background): “Diesl [11] modified the definition of a clean ring and obtained an interesting new concept he called nil clean.”
- Rings in which every element is either a sum or a difference of a nilpotent and an idempotent (2014, background): “The aim of the current paper is to study weak nil-cleanness in the context of arbitrary but not necessarily commutative rings; resultantly we enlarge the most part of the results in [9] to this new point of view.”