Polynomial and algebraic computationCommutative Algebra and Its ApplicationsHomotopy and Cohomology in Algebraic Topology
Nazish Kanwal, Junaid Alam Khan
2026.5.1ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
Abstract
This article explores the behavior of Sagbi-Gröbner bases for modules over polynomial subalgebras under the process of homogenization and dehomogenization. We prove that the Sagbi-Gröbner basis for submodules over subalgebras behaves well in these processes, as the property of being a Sagbi-Gröbner basis is preserved under homogenization and dehomogenization.
Citation format
KANWAL, Nazish; KHAN, Junaid Alam. On the (de)homogenization of sagbi-gröbner bases for modules. ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2026, 34(1): 151–167.