Abstract
Let đ and đâČ are associative algebras over the field â of rational numbers and k â â. In this paper, we investigate the additivity of maps Ï from đ onto đâČ that are bijective and satisfy for all a, b â đ. If đ is a unital prime algebra containing a non-trivial idempotent, or đ is a unital algebra which has a system of matrix units, or đ is a standard operator algebra on a Banach space, then we can conclude that Ï is additive.
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