Let E be the infinite-dimensional Grassmann algebra over a field F of characteristic 0. In this article, we consider the verbally prime algebras M n(F), M n(E) and M a,b(E) endowed with their gradings induced by that of Vasilovsky, and we compute their graded Gelfand-Kirillov dimensions. © 2011 Copyright Taylor and Francis Group, LLC.

The graded Gelfand-Kirillov dimension of verbally prime algebras

Centrone L.
2011-01-01

Abstract

Let E be the infinite-dimensional Grassmann algebra over a field F of characteristic 0. In this article, we consider the verbally prime algebras M n(F), M n(E) and M a,b(E) endowed with their gradings induced by that of Vasilovsky, and we compute their graded Gelfand-Kirillov dimensions. © 2011 Copyright Taylor and Francis Group, LLC.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/312167
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