Abstract

This paper characterizes products of idempotents in (von Neumann) regular rings which are unit-regular or right self-injective. For unit-regular rings, the minimum number of idempotents needed in such a product is determined, thereby generalizing a result of C. S. Ballantine (Products of idempotent matrices, Linear Algebra Appl. 19 (1978), 81–86) in the case of a matrix with entries from a field.

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