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On infinite Gröbner bases in free algebras - MaRDI portal

On infinite Gröbner bases in free algebras (Q1279721)

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scientific article; zbMATH DE number 1251208
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On infinite Gröbner bases in free algebras
scientific article; zbMATH DE number 1251208

    Statements

    On infinite Gröbner bases in free algebras (English)
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    7 February 2000
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    It is found a Gröbner (in other terminology Gröbner-Shirshov) basis of any associative algebra over a field with 2 generators \(x,y\) and one defining quadratic relation \(ax^2+bxy+cyx+dy^2=0\), where \(a,b,c,d\) are not zero.
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    free algebras
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    Gröbner bases
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    Gröbner-Shirshov bases
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    generators
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    relations
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