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math.AC2018
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…
math.HO2018
An Algebraic Construction of Hyperbolic Planes over a Euclidean Ordered Field
Nicholas Phat Nguyen
Using concepts and techniques of bilinear algebra, we construct hyperbolic planes over a euclidean ordered field that satisfy all the Hilbert axioms of incidence, order and congrue…
math.GM2018
Projective Line Revisited
Nicholas Phat Nguyen
This article provides a new perspective on the geometry of a projective line, which helps clarify and illuminate some classical results about projective plane. As part of the same…