Factorization of Perplex Integers

DOI10.1080/00029890.2022.2051406zbMath1494.11006OpenAlexW4224306557WikidataQ114101899 ScholiaQ114101899MaRDI QIDQ5082418

Vadim Ponomarenko

Publication date: 16 June 2022

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2022.2051406

zbMATH Keywords

quadratic fieldirreduciblequadratic integerassociateprime, zero divisor

Mathematics Subject Classification ID

Factorization; primality (11A51)

Cites Work

• Matrices over nondivision algebras without eigenvalues
• Gleason's problem, rational functions and spaces of left-regular functions: the split-quaternion setting
• Factorization in commutative rings with zero divisors
• Tessarine signal processing under the \(\mathbb{T}\)-properness condition
• Quadratic split quaternion polynomials: factorization and geometry
• On the set of zeros of bihyperbolic polynomials
• Pythagorean Triples, Complex Numbers, and Perplex Numbers
• Factoring in the Chicken McNugget Monoid
• GENERALIZED ITERATED FUNCTION SYSTEMS ON HYPERBOLIC NUMBER PLANE
• Least squares X=±X^η* solutions to split quaternion matrix equation AXA^η*=B
• Split-complex numbers and Dirac bra-kets

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