8 citations · 23 across the 11 of their papers we have counts for
12 papers
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…
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…
On ordinary differentially large fields
Omar León Sánchez, Marcus Tressl
We provide a characterisation of differentially large fields in arbitrary characteristic and a single derivation in the spirit of Blum axioms for differentially closed fields. In t…
Differentially Large Fields
Omar León Sánchez, Marcus Tressl
We introduce the notion of differential largeness for fields equipped with several commuting derivations (as an analogue to largeness of fields). We lay out the foundations of this…
Differential Weil descent
Omar León Sánchez, Marcus Tressl
In this short note a differential version of the classical Weil descent is established in all characteristics. This yields a ready-to-deploy tool of differential restriction of sca…
Defining integer valued functions in rings of continuous definable functions over a topological field
Luck Darnière, Marcus Tressl
Let K be an expansion of either an ordered field or a valued field. Given a definable set X K<sup>m</sup> let C(X) be the ring of continuous definable functions from X…