scientific article; zbMATH DE number 4196114
From MaRDI portal
Publication:5203133
zbMath0725.13013MaRDI QIDQ5203133
Lorenzo Robbiano, Moss Eisenberg Sweedler
Publication date: 1990
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)
Related Items
Saturations of subalgebras, SAGBI bases, and U-invariants, Certification for polynomial systems via square subsystems, Bases for some reciprocity algebras I, A new class of finitely generated polynomial subalgebras without finite SAGBI bases, Bases of subalgebras of \(\mathbb{K}[\![ x \!]\) and \(\mathbb{K}[x]\)], Gröbner bases of powers of ideals of maximal minors, Degenerations of flag and Schubert varieties to toric varieties, Pieri algebras for the orthogonal and symplectic groups, Binomial ideals, What Happens When the Division Algorithm “Almost” Works, Invariant \(\mathrm G^2\mathrm V\) algorithm for computing SAGBI-Gröbner bases, Toric degenerations of Grassmannians and Schubert varieties from matching field tableaux, On canonical bases of a formal 𝕂-algebra, Numerical homotopies from Khovanskii bases, Rings of invariants for three dimensional modular representations, Toric degenerations of partial flag varieties and combinatorial mutations of matching field polytopes, PBW degenerations, quiver Grassmannians, and toric varieties, Torus Equivariant K-Stability, Newton-Okounkov bodies of chemical reaction systems, Modular computations of standard bases for subalgebras, Applications of SAGBI-bases in dynamics, \textsc{Sagbi} combinatorics of maximal minors and a \textsc{Sagbi} algorithm, MFO-RIMS tandem workshop: Symmetries on polynomial ideals and varieties. Abstracts from the MFO-RIMS tandem workshop held September 5--11, 2021 (hybrid meeting), The invariants of the second symmetric power representation of \(\mathrm{SL}_2 (\mathbb F_q)\), Converting subalgebra bases with the Sagbi walk, The ``smallest ring of polynomial invariants of a permutation group which has no finite SAGBI bases w. r. t. any admissible order, The invariants of the third symmetric power representation of \(\mathrm{SL}_2(\mathbb F_p)\), Why should the Littlewood–Richardson Rule be true?, Using resultants for SAGBI basis verification in the univariate polynomial ring, A topological structure on certain initial algebras., Computing restrictions of ideals in finitely generated \(k\)-algebras by means of Buchberger's algorithm, Standard bases for local rings of branches and their modules of differentials, Standard monomial theory for flag algebras of GL\((n)\)and Sp\((2n)\), Some relational structures with polynomial growth and their associated algebras II: Finite generation, Symmetric functions and the phase problem in crystallography, On initial algebras of multiplicative invariants, A straightening algorithm for row-convex tableaux, Sagbi bases of Cox-Nagata rings, Normality of orbit closures for directing modules over tame algebras., A generalization of Roberts' counterexample to the fourteenth problem of Hilbert, SAGBI bases and degeneration of spherical varieties to toric varieties, Finite SAGBI bases for polynomial invariants of conjugates of alternating groups, Toric degenerations of flag varieties from matching field tableaux, Toric degenerations of Grassmannians from matching fields, Vector invariants for the two-dimensional modular representation of a cyclic group of prime order, Invariants of the diagonal \(C_{p}\)-action on \(V_{3}\), Using symmetries in the eigenvalue method for polynomial systems, SAGBI bases for rings of invariant Laurent polynomials, Towards classifying toric degenerations of cubic surfaces, Toric degeneration of branching algebras, Standard bases for modules over polynomial subalgebras, SAGBI bases in \(G\)-algebras, Relating rewriting techniques on monoids and rings: congruences on monoids and ideals in monoid rings, Khovanskii Bases, Higher Rank Valuations, and Tropical Geometry, Using SAGBI bases to compute invariants, Compressed straight tableaux and a distributive lattice of representations, Computer algebra and algebraic geometry -- achievements and perspectives, On the depth of the invariants of the symmetric power representations of \(SL_2(\mathbb{F}_p)\), Reduction of permutation-invariant polynomials. A noncommutative case study, Subalgebras in \(K[x\) of small codimension], SAGBI bases under composition, Regular Gröbner bases, Invariants and separating morphisms for algebraic group actions, Computing modular invariants of \(p\)-groups., A rewriting technique for universal polynomial invariants, Rings of polynomial invariants of the alternating group have no finite SAGBI bases with respect to any admissible order