On the intersection of left and right ideals in the ring of quaternion polynomials

DOI10.1142/s0219498823502493OpenAlexW4290603354MaRDI QIDQ6087888

Vladimir Bolotnikov

Publication date: 16 November 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823502493

zbMATH Keywords

parametrizationquasi-idealpolynomials over the quaternions

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Nonlinear algebraic or transcendental equations (65H99)

Cites Work

• Polynomial interpolation over quaternions
• On the multiplicity of zeroes of polynomials with quaternionic coefficients
• Vandermonde and Wronskian matrices over division rings
• Theory of non-commutative polynomials
• Cyclic matrices and polynomial interpolation over division rings
• NONCOMMUTATIVE POLYNOMIAL MAPS
• Zeros, factorizations and least common multiples of quaternion polynomials
• Divided Differences and Two-sided Polynomial Interpolation Over Quaternions
• On the Structure of the Set of Zeros of Quaternionic Polynomials
• On the Zeros of Polynomials over Division Rings
• On ideal-quotients and prime ideals
• Equations in Quaternions
• Unnamed Item
• Unnamed Item

This page was built for publication: On the intersection of left and right ideals in the ring of quaternion polynomials