2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.AC2024
A Universal Property of the Spectrum of a Ring and the Semiring of its Ideals
William Bernardoni
Arithmetic valuations are intimately connected with the structure of the ideals of a commutative ring. We show how the generalized idempotent semiring valuations of Jeffrey and Noa…
math.RA2023
Applications of Generalized Universal Valuations
William Bernardoni
We introduce a generalization of the universal valuation semiring defined by Jeffrey and Noah Giansiracusa. We then explicitly characterize the additive structure of this semiring…
math.AT2023★ 2 cited
Algebraic and Geometric Models for Space Networking
William Bernardoni, Robert Cardona, Jacob Cleveland +6
In this paper we introduce some new algebraic and geometric perspectives on networked space communications. Our main contribution is a novel definition of a time-varying graph (TVG…