On the Structure of T-Spaces of Free Associative Grassmann Algebra of Rank 2
We study T-spaces contained in free associative Grassmann algebra $$F_{2}^{{(3)}}$$ 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.
Authors
- S. V. Pchelintsev (ORCID: https://orcid.org/0000-0001-7857-9532)
- V. I. Glizburg (ORCID: https://orcid.org/0000-0003-1230-6931)
Institutions
- Moscow State Pedagogical University (RU)
- Financial University (RU)
Publication Details
- Journal
- Russian Mathematics
- Published
- 2025-03-01
- DOI
- https://doi.org/10.3103/s1066369x25700203
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00