We introduce a presentation for central simple algebras over a field k using Amitsur
cohomology. We provide efficient algorithms for computing a cocycle corresponding to any …

We present an efficient computational representation of central simple algebras using
Brauer factor sets. Using this representation and polynomial quantum algorithms for number …

Linear complementary pairs (LCPs) of codes have been studied since they were introduced
in the context of discussing mitigation measures against possible hardware attacks to …

Let L be a separable quadratic extension of either Q \documentclass[12pt]{minimal} \usepackage{amsmath}
\usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} …

ABSTRACT Let A 1,…, A s be unitary commutative rings which do not have non-trivial
idempotents and let A= A 1⊕⋯⊕ A s be their direct sum. We describe all idempotents in the …

Let $ K $ be a field and $\sigma $ an automorphism of $ K $ of order $ n $. Employing a
nonassociative algebra, we study the eigenspace of a bounded skew polynomial $ f\in K …

Let $ A_1,\ldots, A_s $ be unitary commutative rings which do not have non-trivial
idempotents and let $ A= A_1\oplus\cdots\oplus A_s $ be their direct sum. We describe all …

Let K be a field and σ an automorphism of K of order n. Employing a nonassociative algebra,
we study the eigenspace of a bounded skew polynomial f∈ K [t; σ]. We mainly treat the case …