A central quaternionic Nullstellensatz

DOI10.1016/j.jalgebra.2021.01.018zbMath1498.16030OpenAlexW3127510756MaRDI QIDQ1998950

Elad Paran, Gil Alon

Publication date: 9 March 2021

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2021.01.018

zbMATH Keywords

quaternionspolynomial ringsNullstellensatz

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (2)

Combinatorial Nullstellensatz over division rings ⋮ Zero sets and Nullstellensatz type theorems for slice regular quaternionic polynomials

Cites Work

• Unnamed Item
• The fundamental theorem of algebra for Hamilton and Cayley numbers
• Zeros of regular functions and polynomials of a quaternionic variable
• Vandermonde and Wronskian matrices over division rings
• On finitely accessible and finitely observable rings
• Theory of non-commutative polynomials
• Noncommutative generalizations of theorems of Cohen and Kaplansky.
• A quaternionic Nullstellensatz
• A ONE-SIDED PRIME IDEAL PRINCIPLE FOR NONCOMMUTATIVE RINGS
• Equations in Quaternions

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