Intersection of Ideals in a Polynomial Ring over a Dual Valuation Domain
Joint Authors
Mialebama Bouesso, Andre S. E.
Babindamana, Regis F.
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-15
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Let V be a valuation domain and let A=V+εV be a dual valuation domain.
We propose a method for computing a strong Gröbner basis in R=A[x1,…,xn]; given polynomials f1,…,fs∈R, a method for computing a generating set for Syz(f1,…,fs)={(h1,…,hs)∈Rs∣h1f1+⋯+hsfs=0} is given; and, finally, given two ideals I=〈f1,…,fs〉 and J=〈g1,…,gr〉 of R, we propose an algorithm for computing a generating set for I∩J.
American Psychological Association (APA)
Babindamana, Regis F.& Mialebama Bouesso, Andre S. E.. 2018. Intersection of Ideals in a Polynomial Ring over a Dual Valuation Domain. Journal of Mathematics،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1193603
Modern Language Association (MLA)
Babindamana, Regis F.& Mialebama Bouesso, Andre S. E.. Intersection of Ideals in a Polynomial Ring over a Dual Valuation Domain. Journal of Mathematics No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1193603
American Medical Association (AMA)
Babindamana, Regis F.& Mialebama Bouesso, Andre S. E.. Intersection of Ideals in a Polynomial Ring over a Dual Valuation Domain. Journal of Mathematics. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1193603
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1193603