Pseudocomplementation in rings of continuous functions

2026/03/30 by Guram Bezhanishvili, Marcus Tressl · 1 voice
Mathematics · #math.GN #math.AC #math.RA

paper · pdf

Abstract

We study rings of real-valued continuous functions in terms of pseudocomplementation conditions on various lattices attached to their prime spectrum. We fully characterize pseudocomplementation in all cases and have an almost complete characterization of relative pseudocomplementation.

Citations

• Free algebras and coproducts in varieties of Gödel algebras
• Lattices and Ordered Algebraic Structures

Discussions

• Guram Bezhanishvili, Marcus Tressl: Pseudocomplementation in rings of continuous functions https://arxiv.org/abs/2603.28165 https://arxiv.org/pdf/2603.28165 https://arxiv.org/html/2603.28165 [bsky, 0 points, 0 comments]

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