Abstract

Let E be the infinite dimensional Grassmann algebra over an infinite field of characteristic different from 2. Let be a n-induced -grading on E and let be its support. In this paper, we study the properties of the set as a subset of Assuming that this set is bounded, we describe the graded identities of the respective graded algebra. We also show that is a subgroup of if and only if it is cyclic, and we describe the graded identities in this case.

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