Two-Generated Algebras and Standard-Form Congruence
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Publication:5249945
DOI10.1080/00927872.2013.876034zbMath1320.15008arXiv1209.6544OpenAlexW3099792655MaRDI QIDQ5249945
Publication date: 13 May 2015
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.6544
skew polynomial ringsfree algebrahomogenizationcanonical formisomorphism problemtwo-generated algebrasmatrix congruence
Ordinary and skew polynomial rings and semigroup rings (16S36) Canonical forms, reductions, classification (15A21) Quadratic and Koszul algebras (16S37)
Related Items (9)
Isomorphism problems and groups of automorphisms for Ore extensions 𝐾[𝑥[𝑦;𝛿] (zero characteristic)] ⋮ Cancellation and skew cancellation for Poisson algebras ⋮ On the discriminant of twisted tensor products ⋮ Orthogonal polynomials and the deformed Jordan plane ⋮ An algebraic treatment of the Askey biorthogonal polynomials on the unit circle ⋮ A unified algebraic underpinning for the Hahn polynomials and rational functions ⋮ Congenial algebras: Extensions and examples ⋮ A parametric family of subalgebras of the Weyl algebra I. Structure and automorphisms ⋮ Some algebras similar to the 2×2 Jordanian matrix algebra
Cites Work
- Prime ideals of Ore extensions over commutative rings. II
- On the field of fractions of certain quantum algebras
- Classifying quadratic quantum \(\mathbb P^2\)s by using graded skew Clifford algebras.
- Canonical forms for complex matrix congruence and \(^{*}\)-congruence
- PBW deformations of Artin–Schelter regular algebras
- Prime ideals of ore extensions
- Derivations et automorphismes de quelques algebras quantiques
- Invariants du corps de weyl sous l'action de groupes finis
- Primitivity of Noetherian Down-Up Algebras
- Rigidité des plongements des quotients primitifs minimaux de Ug(sl(2)) dans l’algebre quantique de Weyl-Hayashi
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