Certain Units in M2(Z) which are Uniquely Clean
Abstract
An element of a ring is clean if it is the sum of an idempotent and a unit and it is uniquely clean if this representation is unique. Characterization for clean elements in has been given [2]. Using this characterization some sufficient conditions have been given for certain units to be uniquely clean.
Keywords: Uniquely clean, units, Diophantine equation.
2000 Mathematics Subject Classification: 16S50
Keywords: Uniquely clean, units, Diophantine equation.
2000 Mathematics Subject Classification: 16S50
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