An extension of Buchberger's algorithm and calculations in enveloping fields of Lie algebras (Q1115179)
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scientific article; zbMATH DE number 4085011
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An extension of Buchberger's algorithm and calculations in enveloping fields of Lie algebras |
scientific article; zbMATH DE number 4085011 |
Statements
An extension of Buchberger's algorithm and calculations in enveloping fields of Lie algebras (English)
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1988
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A method to solve the syzygy problem in a certain class of non- commutative algebras is presented by extending Buchberger's algorithm and the concept of Gröbner bases. The main problem consists of transforming right fractions into left fractions in a skew field. The author presents two algorithm that were implemented, one of which computes generators for the module of syzygies. The other one executes formal calculations in the algebras.
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Buchberger's algorithm
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Gröbner bases
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module of syzygies
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