2 papers
math.LO2026
The Additive Arithmetic of Linear Orders
Garrett Ervin, Eric Paul
We present a systematic development of the arithmetic of the class of linear orders under the ordered sum and prove a number of new results. Our approach is based on a Eu…
math.LO2025
Generalized sums of linear orders
Álvaro Díaz Ramos, Garrett Ervin, Saharon Shelah
We study generalized sums of linear orders. These are binary operations that, given linear orders and , return an order that can be decomposed as an isomorphic…