E⊗E的最小度标准同一性

IF 0.5 2区数学 Q3 MATHEMATICS

International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI:10.12988/ija.2021.91572

Geraldo de Assis Junior, Sergio Mota Alves

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引用次数: 0

摘要

设K是一个特征为p >2的场。Giambruno和Koshlukov已经证明，当且仅当m≥p + 1时，Grassmann代数E满足m次的标准恒等式。本文的目的是将这一结果推广到E⊗E，更精确地证明E⊗E满足m次的标准恒等式当且仅当m≥2p。数学学科分类:15A75, 16R20

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The minimal degree standard identity on E ⊗ E

Let K be a field of characteristics p > 2. Giambruno and Koshlukov have proved [2] that Grassmann Algebra E satisfies the standard identity of degree m if, and only if, m ≥ p + 1. The object of this paper is to extend such result to E ⊗ E, more precisely proving that E ⊗ E satisfies the standard identity of degree m if, and only if, m ≥ 2p. Mathematics Subject Classification: 15A75, 16R20

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来源期刊

International Journal of Algebra and Computation 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The International Journal of Algebra and Computation publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.