On the Object-wise Tensor Product of Functors to Modules
نویسندگان
چکیده
We investigate preserving of projectivity and injectivity by the object-wise tensor product of RC-modules, where C is a small category. In particular, let O(G,X) be the category of canonical orbits of a discrete group G, over a G-set X. We show that projectivity of RO(G,X)-modules is preserved by this tensor product. Moreover, if G is a finite group, X a finite G-set and R is an integral domain then such a tensor product of two injective RO(G,X)-modules is again injective.
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