Malcolm Hoong Wai Chen

collaborators

4 papers

math.RA2026

Covering rings by proper ideals

Malcolm Hoong Wai Chen, Eric Swartz, Nicholas J. Werner

A cover by left ideals of an associative (not necessarily commutative or unital) ring $R$ is a collection of proper left ideals whose set-theoretic union equals $R$ . If such a cove…

math.RA2025

Rings as unions of proper ideals

Malcolm Hoong Wai Chen

In this note, we define and investigate ideal covering numbers of associative rings (not assumed to be commutative or unital): three invariants defined as the minimal number of pro…

math.NT2025

Elementary characterization of the Galois groups of $x^{12} + a x^{6} + b$

Malcolm Hoong Wai Chen

Let $f (x) = x^{12} + a x^{6} + b \in Q [x]$ be an irreducible polynomial, $g_{4} (x) = x^{4} + a x^{2} + b$ , $g_{6} (x) = x^{6} + a x^{3} + b$ , and let $G_{4}$ and $G_{6}$ be the Galois groups of $g_{4} (x)$ and $g_6…

math.GR2025

Abstract Regular Polytopes of Finite Irreducible Coxeter Groups

Malcolm Hoong Wai Chen, Peter Rowley

Here, for $W$ the Coxeter group $D_{n}$ where $n > 4$ , it is proved that the maximal rank of an abstract regular polytope for $W$ is $n - 1$ if $n$ is even and $n$ if $n$ is…

Covering rings by proper ideals

Rings as unions of proper ideals

Elementary characterization of the Galois groups of x12+ax6+b

Abstract Regular Polytopes of Finite Irreducible Coxeter Groups

Elementary characterization of the Galois groups of $x^{12} + a x^{6} + b$