Normalization of indexed differentials by extending Gröbner basis theory

DOI10.1007/s11424-021-0302-2zbMath1502.13064OpenAlexW3208444260MaRDI QIDQ2109306

Shihang Song, Feng Ni, Mingjun Du, Jiang Liu

Publication date: 20 December 2022

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-021-0302-2

zbMATH Keywords

Gröbner basiscanonical formEinstein summation conventionfree commutative monoid ringindexed differential polynomial

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Commutative rings of differential operators and their modules (13N10)

Cites Work

• Finite Gröbner bases in infinite dimensional polynomial rings and applications
• Simplification and normalization of indexed differentials involving coordinate transformation
• Normalization in Riemann tensor polynomial ring
• Normalization of indexed differentials based on function distance invariants
• An extension of Gröbner basis theory to indexed polynomials without eliminations
• Distance invariant method for normalization of indexed differentials
• Equivariant Gröbner Bases of Symmetric Toric Ideals
• Gröbner Bases for the Polynomial Ring with Infinite Variables and Their Applications
• Equivariant Gr\"obner bases

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