Kelly Isham

most citedArithmetic of idempotents in

Z / m Z

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2022

Is the number of subrings of index $p^{e}$ in $Z^{n}$ polynomial in $p$ ?

Kelly Isham

It is well-known that for each fixed $n$ and $e$ , the number of subgroups of index $p^{e}$ in $Z^{n}$ is a polynomial in $p$ . Is this true for \emph{subrings} in $\mathbb{Z}^n…

math.RA2020★ 2 cited

Arithmetic of idempotents in $Z / m Z$

Kelly Isham, Laura Monroe

Idempotent elements are a well-studied part of ring theory, with several identities of the idempotents in $Z / m Z$ already known. Although the idempotents are not c…

math.CO2020

On structures induced by the power sequences of $($ \mathbb{Z}/ m\mathbb{Z} $, \cdot)$

Kelly Isham, Laura Monroe

In this paper, we explore the structure of $Z / m Z$ in terms of its orbits under modular exponentiation, illustrating this with a sequential power graph that is na…

Is the number of subrings of index pe in Zn polynomial in p?

Arithmetic of idempotents in Z/mZ

On structures induced by the power sequences of (\mathbb{Z}/ m\mathbb{Z},⋅)

Is the number of subrings of index $p^{e}$ in $Z^{n}$ polynomial in $p$ ?

Arithmetic of idempotents in $Z / m Z$

On structures induced by the power sequences of $($ \mathbb{Z}/ m\mathbb{Z} $, \cdot)$