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.
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Format: | Article |
Language: | English |
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Sciendo
2013-06-01
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Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
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Online Access: | https://doi.org/10.2478/auom-2013-0030 |
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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 |