N. J. Werner

activity

20142026

most citedProperly Integral Polynomials over the Ring of Integer-valued Polynomials on a Matrix Ring

17 citations · 52 across the 12 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.RA2022

Null ideals of sets of $3 \times 3$ similar matrices with irreducible characteristic polynomial

Eric Swartz, Nicholas J. Werner

Let $F$ be a field and $M_{n} (F)$ the ring of $n \times n$ matrices over $F$ . Given a subset $S$ of $M_{n} (F)$ , the null ideal of $S$ is the set of all polynomials $f$ with coefficient…

math.RA2022

A new infinite family of $σ$ -elementary rings

Eric Swartz, Nicholas J. Werner

A cover of an associative (not necessarily commutative nor unital) ring $R$ is a collection of proper subrings of $R$ whose set-theoretic union equals $R$ . If such a cover exists,…

Null ideals of sets of 3×3 similar matrices with irreducible characteristic polynomial

A new infinite family of σ-elementary rings

Null ideals of sets of $3 \times 3$ similar matrices with irreducible characteristic polynomial

A new infinite family of $σ$ -elementary rings