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11 Nov 2019
Let N and P be R-modules 5. Show that M ve P if and only if there are R-linear maps Ï1: M â N, : M â P, 11 : N â M, and 11: P â M such that (a) Ïίοι,- id for i= 1,2 (b) ÏÇã1j = 0 for iã¡j. (c) 11 οÏί + 12 οÏ2-id for i = 1,2.
Let N and P be R-modules 5. Show that M ve P if and only if there are R-linear maps Ï1: M â N, : M â P, 11 : N â M, and 11: P â M such that (a) Ïίοι,- id for i= 1,2 (b) ÏÇã1j = 0 for iã¡j. (c) 11 οÏί + 12 οÏ2-id for i = 1,2.
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