Afshan Sadiq
Abstract
The theory of standard bases in polynomial rings with coefficients in a ring R with respect to local orderings is developed. R is a commutative Noetherian ring with 1 and we assume that linear equations are solvable in R.
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The theory of standard bases in polynomial rings with coefficients in a ring R with respect to local orderings is developed. R is a commutative Noetherian ring with 1 and we assume that linear equations are solvable in R.
Key concepts: Mathematics, Polynomial ring, Noetherian, Noetherian ring, Noncommutative ring, Local ring, Pure mathematics, Ring (chemistry)