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

Rabia, Muhammad Ahsan Binyamin, Nazia Jabeen, Adnan Aslam, Kraidi Anoh Yannick and Qamar Din

Discrete Dynamics in Nature and Society, 2021, vol. 2021, 1-5

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:2400073

DOI: 10.1155/2021/2400073

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