Does the order we write composition of mappings change if we are writing the mappings on the left instead of the right? For instance, are and equivalent in general?
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Originally Posted by Swlabr For instance, are and equivalent in general? yes. one reason for choosing this order, for example in ring theory, is to avoid dealing with the opposite ring. so if are maps from a module M to itself, i.e. then assuming is the multiplication operation in the ring then we have
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