On equality of maps induced by alternate products

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Abstract

Conditions are given on maps A, CL(X, V) and B, DL(Y, V) for which CxDy = AxBy for all xX and yY, and, when X = Y, for which CxDx = AxBx for all xX.

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Part of this author's research was done on visiting appointment at Oregon State University, Corvallis, OR 97331, U.S.A.