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Factorizations into idempotent factors of matrices over Prüfer domains

Factorizations into idempotent factors of matrices over Prüfer domains

A classical problem that goes back to the 1960's, is to characterize the integral domains R satisfying the property (IDn): "every singular n × n matrix over R is a product of idempotent matrices". Significant results in [18 Laffey, T. J. (1983). Products of idempotent matrices. Linear and Multilinear Algebra. …