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Communications in Algebra Volume 51, 2023 - Issue 5
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Research Articles

On uniquely clean elements

Sharad HegdeDepartment of Mathematics, Nitte (Deemed to be University), NMAM Institute of Technology (NMAMIT), Udupi, IndiaCorrespondence[email protected]
Pages 1835-1839 | Received 20 Aug 2021, Accepted 28 Oct 2022, Published online: 21 Nov 2022
 
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Abstract

We introduce a subclass of semipotent rings in which every element which is both uniquely clean and strongly clean can be written as a sum of a central idempotent and an element in the jacobson radical. This, in particular, settles a question left open in [Citation4].

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