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.

引用

页数：14

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