Kelly Isham

activity

20202026

most citedPolarFly: A Cost-Effective and Flexible Low-Diameter Topology

21 citations · 37 across the 13 of their papers we have counts for

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3 papers · 1 filter

math.NT2020

Lower bounds for the number of subrings in $Z^{n}$

Kelly Isham

Let $f_{n} (k)$ be the number of subrings of index $k$ in $Z^{n}$ . We show that results of Brakenhoff imply a lower bound for the asymptotic growth of 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…

Lower bounds for the number of subrings in Zn

Arithmetic of idempotents in Z/mZ

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

Lower bounds for the number of subrings in $Z^{n}$

Arithmetic of idempotents in $Z / m Z$

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