BINARY OPERATIONS ASSOCIABLE WITH A GROUP OPERATION
Journal Title: Journal of Science And Arts - Year 2011, Vol 17, Issue 4
Abstract
Conditions under which two binary operations on a set M are associable (x○(y*z)=(x○y)*z, z,y,zєM) were given by J. Dhombres in the case when the operations are associative. We characterize the associability of two group operations by using the binary reduces (in Hosszú sense) of an n-group. We show that by the juxtaposition of two such operations, an operation of 3-group is obtained.
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VASILE POP
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