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Subfitness in distributive (semi)lattices
- Publication Year :
- 2024
-
Abstract
- 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 that in general it has a negative solution, however if the semilattice is a lattice, then the solution is positive. This is somewhat unexpected since, as we show, a semilattice is subfit if and only if so is its distributive lattice envelope.<br />Comment: 14 pages, 1 figure
- Subjects :
- Mathematics - General Topology
06A12, 06D22, 18F70, 54B35
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2404.06071
- Document Type :
- Working Paper