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

Author

Listed:
  • Rabia
  • Muhammad Ahsan Binyamin
  • Nazia Jabeen
  • Adnan Aslam
  • Kraidi Anoh Yannick
  • Qamar Din

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.

Suggested Citation

  • Rabia & Muhammad Ahsan Binyamin & Nazia Jabeen & Adnan Aslam & Kraidi Anoh Yannick & Qamar Din, 2021. "An Algorithm to Compute the H-Bases for Ideals of Subalgebras," Discrete Dynamics in Nature and Society, Hindawi, vol. 2021, pages 1-5, July.
    • Handle: RePEc:hin:jnddns:2400073
    DOI: 10.1155/2021/2400073
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