Introduction to algebraic analysis on Ore extensions

DOI10.1007/978-3-031-53063-0_3MaRDI QIDQ6617858

William Fajardo, Carlos Payares, César Rodríguez, Armando Reyes, Oswaldo Lezama

Publication date: 11 October 2024

zbMATH Keywords

Gröbner basesalgebraic analysisOre extensionsrings and modulesconstructive homological algebrafunctional linear systems

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Syzygies, resolutions, complexes in associative algebras (16E05) Computational aspects of associative rings (general theory) (16Z05)

Cites Work

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• Theory of non-commutative polynomials
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• Effective algorithms for parametrizing linear control systems over Ore algebras
• Projective modules and Gröbner bases for skew PBW extensions
• Controllability and observability of linear delay systems: an algebraic approach
• Algebraic analysis of linear multidimensional control systems
• Skew PBW Extensions
• A Computational Maple Library for Skew PBW Extensions
• Some Homological Properties of SkewPBWExtensions

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