ℤ2-Graded Gelfand–Kirillov dimension of the Grassmann algebra-Reference-Cited by-同舟云学术

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ℤ2-Graded Gelfand–Kirillov dimension of the Grassmann algebra

Published:2014-05 Issue:03 Volume:24 Page:365-374
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Centrone Lucio¹

Affiliation:

1. IMECC, Universidade Estadual de Campinas, Campinas–SP, Rua Sergio Buarque de Holanda 651, 13083-859, Brazil

Abstract

We consider the infinite dimensional Grassmann algebra E over a field F of characteristic 0 or p, where p > 2, and we compute its ℤ2-graded Gelfand–Kirillov (GK) dimension as a ℤ2-graded PI-algebra.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196714500167

Reference20 articles.

1. Identities of graded algebras and codimension growth

2. Generic verbally prime pi-algebras and their gk-dimensions

3. Z2-graded identities of the Grassmann algebra in positive characteristic

4. The graded Gelfand--Kirillov dimension of verbally prime algebras

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Graded Identities of Several Tensor Products of the Grassmann Algebra;Algebras and Representation Theory;2020-09-30

2. The GK dimension of relatively free algebras of PI-algebras;Journal of Pure and Applied Algebra;2019-07

3. A note on graded polynomial identities for tensor products by the Grassmann algebra in positive characteristic;International Journal of Algebra and Computation;2016-08-31

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