Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/142
Title: Note on Strongly Nil Clean Elements in Rings
Authors: Kostić, Aleksandra 
Petrović, Zoran 
Pucanović, Zoran S.
Roslavcev, Maja 
Affiliations: Algebra and Mathematical Logic 
Algebra and Mathematical Logic 
Algebra and Mathematical Logic 
Keywords: 13B25;15B33;16U99;nil clean element;nilpotent element
Issue Date: 1-Mar-2019
Journal: Czechoslovak Mathematical Journal
Abstract: 
Let R be an associative unital ring and let a ∈ R be a strongly nil clean element. We introduce a new idea for examining the properties of these elements. This approach allows us to generalize some results on nil clean and strongly nil clean rings. Also, using this technique many previous proofs can be significantly shortened. Some shorter proofs concerning nil clean elements in rings in general, and in matrix rings in particular, are presented, together with some generalizations of these results.
URI: https://research.matf.bg.ac.rs/handle/123456789/142
ISSN: 00114642
DOI: 10.21136/CMJ.2018.0167-17
Appears in Collections:Research outputs

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