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Linear and Multilinear Algebra Volume 59, 2011 - Issue 12
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Original Articles

The graded Gelfand--Kirillov dimension of verbally prime algebras

Lucio Centrone Dipartimento Di Matematica, Universita' Degli Studi Di Bari, Bari, via Orabona 4, 70125, ItalyCorrespondence[email protected]
Pages 1433-1450 | Received 30 Oct 2010, Accepted 29 Jan 2011, Published online: 20 Apr 2011
 
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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.

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Acknowledgements

The author wants to thank the referee for his/her valuable suggestions.

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