3 papers
math.GN2026
Pseudocomplementation in rings of continuous functions
Guram Bezhanishvili, Marcus Tressl
We study rings of real-valued continuous functions in terms of pseudocomplementation conditions on various lattices attached to their prime spectrum. We fully characterize pseudoco…
math.GN2025
Subfitness in distributive (semi)lattices
Guram Bezhanishvili, James Madden, M. Andrew Moshier +2
We investigate whether the set of subfit elements of a distributive semilattice is an ideal. This question was raised by the second author at the BLAST conference in 2022. We show…
math.LO2024
A Model Theoretic Perspective on Matrix Rings
Igor Klep, Marcus Tressl
In this paper natural necessary and sufficient conditions for quantifier elimination of matrix rings in the language of rings expanded by two unary functions, naming the t…