An Algorithm to Compute the H-Bases for Ideals of Subalgebras | Zendy

Rabia | Zendy; Muhammad Ahsan Binyamin | Zendy; Nazia Jabeen | Zendy; Adnan Aslam | Zendy; Kraidi Anoh Yannick | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

An Algorithm to Compute the H-Bases for Ideals of Subalgebras

Author(s) -

Rabia,

Muhammad Ahsan Binyamin,

Nazia Jabeen,

Adnan Aslam,

Kraidi Anoh Yannick

Publication year - 2021

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2021/2400073

Subject(s) - basis (linear algebra) , polynomial , mathematics , subalgebra , construct (python library) , polynomial ring , connection (principal bundle) , degree (music) , algebra over a field , ring (chemistry) , finitely generated abelian group , gröbner basis , pure mathematics , computer science , mathematical analysis , chemistry , physics , geometry , organic chemistry , acoustics , programming language

The concept of H-bases, introduced long ago by Macauly, has become an important ingredient for the treatment of various problems in computational algebra. The concept of H-bases is for ideals in polynomial rings, which allows an investigation of multivariate polynomial spaces degree by degree. Similarly, we have the analogue of H-bases for subalgebras, termed as SH-bases. In this paper, we present an analogue of H-bases for finitely generated ideals in a given subalgebra of a polynomial ring, and we call them “HSG-bases.” We present their connection to the SAGBI-Gröbner basis concept, characterize HSG-basis, and show how to construct them.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research