TEST OF EPIMORPHISM FOR FINITELY GENERATED MORPHISMS BETWEEN AFFINE ALGEBRAS OVER COMPUTATIONAL RINGS

DOI10.1142/S0219498805001253zbMath1089.13018OpenAlexW2053189078MaRDI QIDQ5703217

Sihem Mesnager

Publication date: 8 November 2005

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

Full work available at URL: https://doi.org/10.1142/s0219498805001253

zbMATH Keywords

Gröbner basescharacterization of epimorphisms

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Morphisms of commutative rings (13B10)

Cites Work

• A Jacobian criterion for separability
• A Gröbner basis criterion for isomorphisms of algebraic varieties
• Über B. Buchbergers Verfahren, Systeme algebraischer Gleichungen zu lösen
• Using Gröbner bases to determine algebra membership, split surjective algebra homomorphisms determine birational equivalence

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