Gr\"obner-nice pairs of ideals
Mircea Cimpoea\c{s}, Dumitru I. Stamate
TL;DR
This paper introduces the concept of Gr"obner nice pairs of ideals in polynomial rings and explores their applications, providing new insights into ideal theory and computational algebra.
Contribution
It defines the novel concept of Gr"obner nice pairs and demonstrates their usefulness in algebraic computations and theory.
Findings
Characterization of Gr"obner nice pairs
Applications to ideal membership problems
Enhanced computational techniques
Abstract
We introduce the concept of a Gr\"obner nice pair of ideals in a polynomial ring and we present some applications.
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