@MISC{Shepherdson50inversesand, author = {J. C. Shepherdson}, title = {INVERSES AND ZERO DIVISORS IN MATRIX RINGS}, year = {1950} }

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Abstract

THE following question was mentioned by van der Waerden (1): ' If R is a ring with a unit element and A is an n X n square matrix with elements in R, can A, regarded as an element of the ring of nxn square matrices with elements in R, be both a left inverse and a left divisor of zero? In other