Enviar artigo por via de e-mail Finite Combinatorial Generation of Metabelian T-Ideal
- Autores: Latyshev V.1
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Afiliações:
- Moscow State University
- Edição: Volume 233, Nº 5 (2018)
- Páginas: 702-712
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241646
- DOI: https://doi.org/10.1007/s10958-018-3958-y
- ID: 241646
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Resumo
In this work, we develop our idea on the construction of a system of combinatorial generators in a T-ideal of a free associative algebra, which is a full analogy of a Gröbner–Shirshov basis in a polynomial ideal. We prove a theorem on multilinear monomials that enables us to establish the existence of a finite set of combinatorial generators in a metabelian T-ideal.
