Solving some linear equations over alternative rings

DOI10.1007/s00025-010-0041-5zbMath1201.17019OpenAlexW2024071370MaRDI QIDQ606396

Yongge Tian

Publication date: 17 November 2010

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-010-0041-5

zbMATH Keywords

linear equationsvon Neumann regularityalternative ring

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Alternative rings (17D05) Nonassociative algebras satisfying other identities (17A30)

Related Items (2)

Algorithms for Finding the Roots of Some Quadratic Octonion Equations ⋮ Solvability conditions for mixed sylvester equations in rings

Cites Work

• Equations \(ax = c\) and \(xb = d\) in rings and rings with involution with applications to Hilbert space operators
• Solutions to \(x-axb=w\)
• Alternative regular rings without nilpotent elements
• Unnamed Item

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