Advanced Methods of Polynomial Ideal Computation
A special issue of Mathematics (ISSN 2227-7390).
Deadline for manuscript submissions: 30 November 2026 | Viewed by 122
Special Issue Editor
Special Issue Information
Dear Colleagues,
This Special Issue on Advanced Methods of Polynomial Ideal Computation focuses on recent developments in polynomial algebra, particularly monomial algebras, Gröbner bases, and algorithmic techniques. Polynomial ideals play a central role in commutative algebra and algebraic geometry, with applications in symbolic computation, coding theory, optimization, and cryptography. We invite contributions that introduce novel algorithms for computing ideal generators, syzygies, and minimal resolutions, as well as efficient implementations and software tools for practical computations. Submissions addressing algorithmic complexity, modular methods, and parallel computation for large polynomial systems are also encouraged. Interdisciplinary studies connecting polynomial ideal theory with combinatorics, invariant theory, and computational number theory are particularly welcome. This Special Issue aims to provide a high-quality collection of research that highlights both theoretical advances and practical algorithmic innovations, serving as a reference for researchers and practitioners in polynomial and monomial algebra.
Dr. Mehrdad Nasernejad
Guest Editor
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Keywords
- polynomial ideals
- monomial algebras
- Gröbner bases
- syzygies
- computational algebraic geometry
- symbolic computation
- algorithmic complexity
- combinatorial commutative algebra
- algebraic combinatorics
- homological aspects of monomial ideals
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