• Uniquely Clean Idempotent 2×2 Matrices Over Integral Domains
Abstract
Let R be a ring with identity. An element of R is said to be clean if it is the sum of a unit and an idempotent and it is uniquely clean if this representation is unique. It is well known that central idempotents in any ring are uniquely clean ([2]). In this paper it has been shown that if R is an Integral Domain then the central idempotents are the only uniquely clean idempotents in .
Keywords
Uniquely clean, central idempotents, integral domain.
Full Text:
PDFThis work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2010-2024 International Journal of Mathematical Archive (IJMA) Copyright Agreement & Authorship Responsibility |