Certain Units in M2(Z) which are Uniquely Clean

K. N. Rajeswari*, Rafia Aziz


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

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