Irreducible skew polynomials over domains

Brown, C.; Pumpluen, S.

Abstract

Let S be a domain and R = S[t; σ, δ] a skew polynomial ring, where σ is an injective endomorphism of S and δ a left σ-derivation. We give criteria for skew polynomials f ∈ R of degree less or equal to four to be irreducible. We apply them to low degree polynomials in quantized Weyl algebras and the quantum planes. We also consider f (t) = t m − a ∈ R.

Citation

Brown, C., & Pumpluen, S. (2021). Irreducible skew polynomials over domains. Analele Universităţii "Ovidius" Constanta - Seria Matematica, 29(3), 75–89. https://doi.org/10.2478/auom-2021-0035

• Journal Article Type: Article
• Acceptance Date: Apr 30, 2021
• Online Publication Date: Nov 23, 2021
• Publication Date: 2021-11
• Deposit Date: Mar 23, 2024
• Publicly Available Date: Mar 26, 2024
• Journal: Analele Universităţii "Ovidius" Constanta - Seria Matematica
• Print ISSN: 1224-1784
• Electronic ISSN: 1844-0835
• Publisher: Sciendo
• Peer Reviewed: Peer Reviewed
• Volume: 29
• Issue: 3
• Pages: 75–89
• DOI: https://doi.org/10.2478/auom-2021-0035
• Public URL: https://nottingham-repository.worktribe.com/output/5507755
• Publisher URL: https://sciendo.com/article/10.2478/auom-2021-0035