On initial algebras of multiplicative invariants

DOI10.1016/j.jalgebra.2008.06.030zbMath1154.13004OpenAlexW2046780104MaRDI QIDQ959759

M. Tesemma

Publication date: 12 December 2008

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.06.030

zbMATH Keywords

initial algebraGröbner regioninitial convex cone

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (2)

A new class of finitely generated polynomial subalgebras without finite SAGBI bases ⋮ A topological structure on certain initial algebras.

Cites Work

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• On the theory of graded structures
• The Gröbner fan of an ideal
• A constructive description of SAGBI bases for polynomial invariants of permutation groups
• SAGBI bases in rings of multiplicative invariants
• Multiplicative invariant theory
• The infiniteness of the SAGBI bases for certain invariant rings.
• Introduction to Toric Varieties. (AM-131)
• Archimedean Orders on Certain Rings of Invariants
• On Multiplicative Invariants of Finite Reflection Groups

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