Amenable and contrarian bases on algebras of rational functions
We prove that several natural bases for the algebra [Formula: see text] of rational functions over a field [Formula: see text] are not amenable. In fact, Partial Fractions bases are shown to be contrarian. In the process, we introduce the notion of a spoiler, which helped us to focus on the reasons why the various bases considered are not amenable.
Authors
- Sergio R. López-Permouth (ORCID: https://orcid.org/0000-0002-7376-2167)
- Fatma A. Ebrahim (ORCID: https://orcid.org/0000-0001-7907-6996)
- Majed Zailaee
- Raihanatu Muhammad (ORCID: https://orcid.org/0000-0003-3412-0206)
Institutions
- Montgomery College (US)
- Al-Azhar University (EG)
- King Abdulaziz University (SA)
- Ohio University (US)
Publication Details
- Journal
- Journal of Algebra and Its Applications
- Published
- 2025-11-03
- DOI
- https://doi.org/10.1142/s0219498825420204
- Primary Topic
- Polynomial and algebraic computation
- Type
- article
- Field-Weighted Citation Impact
- 0.00