Computational ideal theory in finitely generated extension rings
type: Item
instance of: scholarly article
title: Computational ideal theory in finitely generated extension rings
zbMATH Open document ID: 0945.68197
DOI: 10.1016/S0304-3975(00)00172-9
published in: Theoretical Computer Science
publication date: 2000-08-21T00:00:00Z
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 68W05
Mathematics Subject Classification ID: 13P10
zbMATH DE Number: 1493476
zbMATH Keywords: Gröbner bases
author: Joachim Apel
describes a project that uses: Felix
MaRDI profile type: Publication
cites work: Q4305609
cites work: Q3999788
cites work: Q4027055
cites work: Q4237434
cites work: An extension of Buchberger's algorithm and calculations in enveloping fields of Lie algebras
cites work: Q4693774
cites work: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal
cites work: Q3714165
cites work: Resolution of singularities of an algebraic variety over a field of characteristic zero. I
cites work: Q3677849
cites work: Non-commutative Gröbner bases in algebras of solvable type
cites work: Q4234206
cites work: A generalization of Gröbner basis algorithms to polycyclic group rings
cites work: On the construction of Gröbner bases using syzygies
cites work: New constructive methods in classical ideal theory
cites work: On the theory of graded structures
cites work: An algorithm for constructing Gröbner and free Schreier bases in free group algebras
cites work: A generalization of reduction rings
cites work: Über B. Buchbergers Verfahren, Systeme algebraischer Gleichungen zu lösen
full work available at URL: s0304-3975(00)00172-9
OpenAlex ID: W2138402185
Recommended article: Ideals in computable rings
Recommended article: Q5486585
Recommended article: Using extended Derksen ideals in computational invariant theory
Recommended article: Q4237383
Recommended article: Computable ideals in \(I\)-algebras
Recommended article: A new computational approach to ideal theory in number fields
Recommended article: Computing the core of ideals in arbitrary characteristic
Recommended article: Computation in polynomial algebras and ideals
Recommended article: Q4855282
Recommended article: Q4934287
description: scientific article; zbMATH DE number 1493476