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\(\mathbb{T}\)-Spaces of n-Words in a Relatively Free Grassmann Algebra without Unit in Characteristic 2

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Abstract

In the paper, we continue the study of the relatively free Grassmann algebra \({\mathbb{F}^{(3)}}\) without unit over an infinite field of characteristic 2, which was initiated in previous works of the author. The main attention is paid here to the relationship between the \(\mathbb{T}\)-spaces of n-words, i.e., the \(\mathbb{T}\)-spaces generated by all monomials in \({\mathbb{F}^{(3)}}\) containing each of their variables with multiplicity n. The results of this note will enable one to form a more complete picture of possible inclusions between the \(\mathbb{T}\)-spaces of r-and n-words for r > n.

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References

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Authors and Affiliations

  1. Moscow Pedagogical State University, Moscow, 119882, Russia

    L. M. Tsybulya

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  1. L. M. Tsybulya
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Correspondence to L. M. Tsybulya.

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Russian Text © The Author(s), 2020, published in Matematicheskie Zametki, 2020, Vol. 107, No. 6, pp. 922–933.

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Tsybulya, L.M. \(\mathbb{T}\)-Spaces of n-Words in a Relatively Free Grassmann Algebra without Unit in Characteristic 2. Math Notes 107, 1014–1022 (2020). https://doi.org/10.1134/S0001434620050338

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  • DOI: https://doi.org/10.1134/S0001434620050338

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