On the (De)homogenization of Sagbi Bases

In this paper we study the relation between nonhomogeneous and homogeneous Sagbi bases. As a consequence, we present a general prin- ciple of computing Sagbi bases of a subalgebra and its homogenized subalgebra, which is based on passing over to homogenized generators.

Bibliographic Details
Main Author: Khan Junaid Alam
Format: Article
Language:English
Published: Sciendo 2013-06-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
Online Access:https://doi.org/10.2478/auom-2013-0030
_version_ 1811272407995908096
author Khan Junaid Alam
author_facet Khan Junaid Alam
author_sort Khan Junaid Alam
collection DOAJ
description In this paper we study the relation between nonhomogeneous and homogeneous Sagbi bases. As a consequence, we present a general prin- ciple of computing Sagbi bases of a subalgebra and its homogenized subalgebra, which is based on passing over to homogenized generators.
first_indexed 2024-04-12T22:39:43Z
format Article
id doaj.art-b9b1da9bfd50490da6ff08adeb33296b
institution Directory Open Access Journal
issn 1844-0835
language English
last_indexed 2024-04-12T22:39:43Z
publishDate 2013-06-01
publisher Sciendo
record_format Article
series Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
spelling doaj.art-b9b1da9bfd50490da6ff08adeb33296b2022-12-22T03:13:46ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352013-06-0121217318010.2478/auom-2013-0030On the (De)homogenization of Sagbi BasesKhan Junaid Alam0Department of Mathematical Sciences, Institute of Business Administration, University Road, Karachi, PakistanIn this paper we study the relation between nonhomogeneous and homogeneous Sagbi bases. As a consequence, we present a general prin- ciple of computing Sagbi bases of a subalgebra and its homogenized subalgebra, which is based on passing over to homogenized generators.https://doi.org/10.2478/auom-2013-0030sagbi basishomogenous polynomia
spellingShingle Khan Junaid Alam
On the (De)homogenization of Sagbi Bases
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
sagbi basis
homogenous polynomia
title On the (De)homogenization of Sagbi Bases
title_full On the (De)homogenization of Sagbi Bases
title_fullStr On the (De)homogenization of Sagbi Bases
title_full_unstemmed On the (De)homogenization of Sagbi Bases
title_short On the (De)homogenization of Sagbi Bases
title_sort on the de homogenization of sagbi bases
topic sagbi basis
homogenous polynomia
url https://doi.org/10.2478/auom-2013-0030
work_keys_str_mv AT khanjunaidalam onthedehomogenizationofsagbibases