An Effective Description of k [
نویسندگان
چکیده
In this note, we give an effective description of the tensor product k[[X]] ⊗k k[[Y ]]. This latter ring is well known to be not isomorphic to k[[X,Y ]]. The effective description we provide is given through the identification of k[[X,Y ]] with a convolution algebra. As an application, we prove that the group structure of Ak does not descend to Spec k[[X]]. Mathematics Subject Classification: 13F25; 13J05, 15A69
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