Computation in multivariate quaternionic polynomial ring

In this paper we study on division algorithm and Gröbner bases in the multivariate quaternionic polynomial ring.

Bibliographic Details
Main Author: Hiep Tuan Dang
Format: Article
Language:English
Published: Università degli Studi di Catania 2013-05-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/877
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author Hiep Tuan Dang
author_facet Hiep Tuan Dang
author_sort Hiep Tuan Dang
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description In this paper we study on division algorithm and Gröbner bases in the multivariate quaternionic polynomial ring.
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spelling doaj.art-89dda6fa771845f8be5d12c26715fdc62022-12-22T00:12:14ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982013-05-01681311840Computation in multivariate quaternionic polynomial ringHiep Tuan Dang0Università degli Studi di Bari Aldo Moro Via E. Orabona, 4 - 70125, Bari ITALYIn this paper we study on division algorithm and Gröbner bases in the multivariate quaternionic polynomial ring.http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/877Quaternionic polynomialsDivision algorithmGröbner basesNon-commutative rings.
spellingShingle Hiep Tuan Dang
Computation in multivariate quaternionic polynomial ring
Le Matematiche
Quaternionic polynomials
Division algorithm
Gröbner bases
Non-commutative rings.
title Computation in multivariate quaternionic polynomial ring
title_full Computation in multivariate quaternionic polynomial ring
title_fullStr Computation in multivariate quaternionic polynomial ring
title_full_unstemmed Computation in multivariate quaternionic polynomial ring
title_short Computation in multivariate quaternionic polynomial ring
title_sort computation in multivariate quaternionic polynomial ring
topic Quaternionic polynomials
Division algorithm
Gröbner bases
Non-commutative rings.
url http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/877
work_keys_str_mv AT hieptuandang computationinmultivariatequaternionicpolynomialring