Tensor Product of Endo-permutation Modules
نویسندگان
چکیده
In this paper, we study some properties of the exterior tensor product on the category of modules. For this, we prove that the exterior tensor product of two permutation, endo-permutation, endo-trivial and endo-monomial modules are still permutation, endo-permutation endotrivial and endo-monomial modules respectively. Also, we prove that the cap of an exterior tensor product of two modules equal the exterior tensor product of their caps. Also, we prove that the exterior tensor product of two Dade algebras is a Dade algebra. 2000 Mathematics Subject Classification: 20C20; 16S50.
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