Strong Gröbner bases for polynomials over a principal ideal ring. (Q2777726)
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scientific article; zbMATH DE number 1717655
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong Gröbner bases for polynomials over a principal ideal ring. |
scientific article; zbMATH DE number 1717655 |
Statements
2001
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strong Gröbner bases
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algorithms
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rings with zero-divisors
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principal ideal domain
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Strong Gröbner bases for polynomials over a principal ideal ring. (English)
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The authors characterize Gröbner bases and strong Gröbner bases in polynomial rings over any principal ideal ring; they show that strong Gröbner bases always exist and give algorithms to effectively construct them. Moreover, they concentrate on rings with zero-divisors and compare their algorithm with previous works, where the ring is either a field (as in the beginning) or a principal ideal domain.
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