On the structure of T -spaces of free associative Grassmann algebra of rank 2

We study T-spaces contained in free associative Grassmann algebra F (3) of rank 2 over an infinite field of finite characteristic. Systems of generators of these T-spaces are found. It is proved that the T-spaces contained in the commutant form a chain.

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Publication Details

Journal
Izvestiya Vysshikh Uchebnykh Zavedenii Matematika
Published
2025-03-27
DOI
https://doi.org/10.26907/0021-3446-2025-3-17-24
Primary Topic
Advanced Topics in Algebra
Type
article
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article

On the structure of T -spaces of free associative Grassmann algebra of rank 2

S. V. Pchelintsev, V. I. Glizburg
Izvestiya Vysshikh Uchebnykh Zavedenii Matematika
Advanced Topics in Algebra
article

On the structure of T -spaces of free associative Grassmann algebra of rank 2

S. V. Pchelintsev, V. I. Glizburg
article en

Abstract

We study T-spaces contained in free associative Grassmann algebra F (3) of rank 2 over an infinite field of finite characteristic. Systems of generators of these T-spaces are found. It is proved that the T-spaces contained in the commutant form a chain.

Izvestiya Vysshikh Uchebnykh Zavedenii Matematika(3)
Moscow State Pedagogical University (RU), Financial University (RU)
Openalex Percentile: Top 90%
Advanced Topics in Algebra
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