Subfitness in distributive (semi)lattices

被引：0
|
作者：
Bezhanishvili, G. [1 ]
Madden, J. [2 ]
Moshier, M. A. [3 ]
Tressl, M. [4 ]
Walters-Wayland, J. [3 ]
机构：
[1] New Mexico State Univ, Las Cruces, NM USA
[2] Louisiana State Univ Baton Rouge, Baton Rouge, LA USA
[3] Chapman Univ, Orange, CA USA
[4] Univ Manchester, Manchester, England
来源：
SEMIGROUP FORUM | 2025年
关键词：
Subfitness; Semilattice; Distributive lattice; Frame; Distributive envelope; LATTICES; PRIME;
D O I：
10.1007/s00233-025-10506-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：14
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