Strong Gröbner bases and linear algebra in multivariate polynomial rings over Euclidean domains

Erhard Aichinger

doi:10.1016/j.exmath.2024.125627

Strong Gröbner bases and linear algebra in multivariate polynomial rings over Euclidean domains

Erhard Aichinger

Institut für Algebra

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

Abstract

We provide a self-contained introduction to Gröbner bases of submodules of R[x1,…,xn]k, where R is a Euclidean domain, and explain how to use these bases to solve linear systems over R[x1,…,xn].

Originalsprache	Englisch
Aufsatznummer	125627
Seiten (von - bis)	125627
Seitenumfang	28
Fachzeitschrift	Expositiones Mathematicae
Volume	42
Ausgabenummer	6
DOIs	https://doi.org/10.1016/j.exmath.2024.125627
Publikationsstatus	Veröffentlicht - Dez. 2024

Wissenschaftszweige

101 Mathematik
101001 Algebra
101005 Computeralgebra
101013 Mathematische Logik
102031 Theoretische Informatik

JKU-Schwerpunkte

Digital Transformation

Zugriff auf Dokument

10.1016/j.exmath.2024.125627

Andere Dateien und Links

Gleichungen in der universellen Algebra
Aichinger, E. (Projektleiter*in)
01.09.2020 → 30.09.2024
Projekt: Geförderte Forschung › FWF - Österreichischer Wissenschaftsfonds

Dieses zitieren

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Strong Gröbner bases and linear algebra in multivariate polynomial rings over Euclidean domains

Abstract

Wissenschaftszweige

JKU-Schwerpunkte

Zugriff auf Dokument

Andere Dateien und Links

Projekte

Gleichungen in der universellen Algebra

Dieses zitieren