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Minimum degree of an A-identity of E ⊗ E
International Journal of Algebra and Computation ( IF 0.5 ) Pub Date : 2020-06-18 , DOI: 10.1142/s021819672050040x
Fernando Augusto Naves 1 , Humberto Luiz Talpo 2
Affiliation  

Let [Formula: see text] be a field of characteristic zero, algebraically closed and [Formula: see text] be the unitary infinite-dimensional Grassmann [Formula: see text]-algebra. Our aim is to determine the minimal degree of an [Formula: see text]-polynomial satisfied by [Formula: see text]. Also, we find an explicit [Formula: see text]-identity of [Formula: see text].

中文翻译:

E ⊗ E 的 A 恒等式的最小度

令 [Formula: see text] 为特征为零的代数闭域, [Formula: see text] 为酉无穷维 Grassmann [Formula: see text]-代数。我们的目标是确定 [公式:参见文本] 满足的 [公式:参见文本]-多项式的最小次数。此外,我们发现了一个明确的[公式:见文本]-[公式:见文本]的身份。
更新日期:2020-06-18
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