Tensor product of LA-modules

Ahmad Mohammad Alghamdi, Fatiha Sahraoui · International Mathematical Forum · 2014

Copyright c © 2014 Ahmad M. Alghamdi and Fatiha Sahraoui. This is an open access article distributed under the Creative Commons Attribution License, which permits unre-stricted use, distribution, and reproduction in any medium, provided the original work is properly cited. An LA-module over an LA-ring is defined in [19]. We define and construct a tensor product of two LA-modules. Although, LA-groups and LA-modules need not to be abelian, the new construction behaves like standard definition of the tensor product of usual modules over a ring. We then extend some simple results from the ordinary tensor to the new setting.

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