Zero sets and Nullstellensatz type theorems for slice regular quaternionic polynomials

DOI10.1016/j.laa.2024.01.005arXiv2212.02301MaRDI QIDQ6149182

Anna Gori, Giulia Sarfatti, Fabio Vlacci

Publication date: 5 February 2024

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.02301

zbMATH Keywords

zerosslice regular polynomials in several quaternionic variables

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Cites Work

• Unnamed Item
• The fundamental theorem of algebra for Hamilton and Cayley numbers
• A central quaternionic Nullstellensatz
• Slice regular functions in several variables
• A quaternionic Nullstellensatz
• A new theory of regular functions of a quaternionic variable
• A ONE-SIDED PRIME IDEAL PRINCIPLE FOR NONCOMMUTATIVE RINGS
• Regular Functions of a Quaternionic Variable
• A non-commutative Nullstellensatz

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