1 citations · 1 across the 15 of their papers we have counts for
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A Congruence Property of Solvable Polynomials
Nicholas Phat Nguyen
We describe a congruence property of solvable polynomials over Q, based on the irreducibility of cyclotomic polynomials over number fields that meet certain conditions.
A Note on Cyclotomic Polynomials
Nicholas Phat Nguyen
We present a more general proof that cyclotomic polynomials are irreducible over Q and other number fields that meet certain conditions. The proof provides a new perspective that t…
A Note on Cyclotomic Integers
Nicholas Phat Nguyen
In this note, we present a new proof that the cyclotomic integers constitute the full ring of integers in the cyclotomic field.
Anisotropic Quadratic Forms and Inversive Geometry
Nicholas Phat Nguyen
We develop an inversive geometry for anisotropic quadradic spaces, in analogy with the classical inversive geometry of a Euclidean plane.
Valuation and Divisibility
Nicholas Phat Nguyen
In this paper, we explain how some basic facts about valuation can help clarify many questions about divisibility in integral domains.
A Note on Graded Rings and Modules
Nicholas Phat Nguyen
In this note, we consider a situation that is generally used as an intermediate technical step in proving the Artin-Rees lemma but otherwise is not much discussed in introductory a…