All Outputs (3)

Irreducible skew polynomials over domains (2021)
Journal Article

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 degr... Read More about Irreducible skew polynomials over domains.

The norm of a skew polynomial (2021)
Journal Article

Let D be a finite-dimensional division algebra over its center and R=D[t;σ,δ] a skew polynomial ring. Under certain assumptions on δ and σ, the ring of central quotients D(t;σ,δ)={f/g|f∈D[t;σ,δ],g∈C(D[t;σ,δ])} of D[t;σ,δ] is a central simple algebra... Read More about The norm of a skew polynomial.

A generalisation of Amitsur's A-polynomials (2021)
Journal Article

We find examples of polynomials f in D[t;\sigma,\delta] whose eigenring is a central simple algebra over the field F = C \cap Fix(\sigma) \cap Const(\delta).