Strongly J-clean matrices over 2-projective-free rings (1409.3974v2)

Published 13 Sep 2014 in math.RA

Abstract: An element $a$ in a ring $R$ is strongly J-clean if it is the sum of an idempotent and an element in the Jacobson radical that commutes. We characterize the strongly J-clean $2\times 2$ matrices over 2-projective-free non-commutative rings.

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