New posts in lattice-orders

In a finite poset $P$, a down-set $I$ is meet-irreducible $\iff I=P\backslash\uparrow x$ for some $x\in P$

What are the algebras of the double powerset monad?

Are ideals in rings and lattices related?

Show natural numbers ordered by divisibility is a distributive lattice.

Symmetric relations form a CABA

Is the lattice of subspaces of a finite-dimensional scalar product space distributive?

Soberification of a topological space

limsup and liminf of a sequence of subsets of a set

Need a clarification of the proof that the prime ideal space of a distributive bounded lattice is compact

let $L$ be a bounded distributive lattice with dual space $(X:=\mathcal{I}_p(L), \subseteq, \tau)$, then the clopen downsets of $X$ are $X_a, a \in L$

Defining arbitrary join on the set of complete ideals of a Heyting Algebra

Free lattice in three generators

When a lattice is a lattice of open sets of some topological space?

Difference between lattice and complete lattice

Introductory text for lattice theory

The Chinese remainder theorem and distributive lattices

Examples of rings with ideal lattice isomorphic to $M_3$, $N_5$

Properties of the cone of positive semidefinite matrices

Does the order, lattice of subgroups, and lattice of factor groups, uniquely determine a group up to isomorphism?

Simplest Example of a Poset that is not a Lattice