Gröbner-Shirshov bases and composition lemma for associative conformal algebras: an example. (Q2704360)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gröbner-Shirshov bases and composition lemma for associative conformal algebras: an example. |
scientific article |
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7 November 2001
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associative algebras
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vertex algebras
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conformal algebras
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free algebras
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Gröbner-Shirshov bases
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composition lemma
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generators and relations
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Gröbner-Shirshov bases and composition lemma for associative conformal algebras: an example. (English)
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The authors write in the Introduction that this aricle is the first one in a series of papers devoted to study associative conformal algebras given by generators and defining relations. In order to illustrate such concepts as a composition of elements of a free associative conformal algebra, Gröbner-Shirshov basis and composition lemma, the authors start with the detailed consideration of the concrete example of an associative conformal algebra given by generators and defining relations. The proof of the composition lemma and further applications to algorithmic problems will be given in subsequent papers.NEWLINENEWLINEFor the entire collection see [Zbl 0953.00031].
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