Gröbner-Shirshov bases and composition lemma for associative conformal algebras: an example. (Q2704360)

From MaRDI portal





scientific article
Language Label Description Also known as
English
Gröbner-Shirshov bases and composition lemma for associative conformal algebras: an example.
scientific article

    Statements

    0 references
    0 references
    0 references
    7 November 2001
    0 references
    associative algebras
    0 references
    vertex algebras
    0 references
    conformal algebras
    0 references
    free algebras
    0 references
    Gröbner-Shirshov bases
    0 references
    composition lemma
    0 references
    generators and relations
    0 references
    Gröbner-Shirshov bases and composition lemma for associative conformal algebras: an example. (English)
    0 references
    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].
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references