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New posts in order-theory
Failure of existence of GCD
ring-theory
ideals
order-theory
gcd-and-lcm
$I(A)$ and $I(B)$ ideal lattices, then $F(J) = \downarrow \psi(J)$ and $G(U)=\downarrow \phi(U)$ is a connection of Galois between $I(A)$ and $I(B)$.
combinatorics
discrete-mathematics
order-theory
lattice-orders
galois-connections
Is there a non-trivial countably transitive linear order?
set-theory
order-theory
Finding all posets on a set
relations
order-theory
$P$ poset. $x = \bigvee(\downarrow x\cap U)\Rightarrow \forall x, y \in P$, with $y \lt x$, $\exists a\in U$ s.t. $a \le x $ and $a \nleqslant y$
combinatorics
discrete-mathematics
order-theory
lattice-orders
$L$ finite and distributive lattice, then $\mathcal{J}(L)$ (join-irreducible's) is isomorphic, as poset, to $\mathcal{M}(L)$ (meet-irreducible's)
combinatorics
discrete-mathematics
order-theory
lattice-orders
Let $A_1$, $A_2$, $P$ be CPOs and let $\psi: A_1 \times A_2 \to P $ be a map, then $\psi$ is continuous $\iff$ it is so in each variable separately
combinatorics
discrete-mathematics
order-theory
lattice-orders
Number of ways to interleave two ordered sequences. [duplicate]
sequences-and-series
combinatorics
order-theory
Lemma 2.20 of Kunen
set-theory
order-theory
filters
forcing
Is every linear ordered set normal in its order topology?
general-topology
order-theory
separation-axioms
order-topology
In a finite poset $P$, a down-set $I$ is meet-irreducible $\iff I=P\backslash\uparrow x$ for some $x\in P$
combinatorics
order-theory
lattice-orders
Existence of non-commutative ordered ring
ring-theory
order-theory
Prove that every totally ordered set has a well-ordered cofinal subset
set-theory
order-theory
Geometric definitions of infinity
geometry
elementary-set-theory
order-theory
lebesgue-measure
infinity
Is there an example of an ordered ring that is not isomorphic to any subring of the real numbers?
abstract-algebra
ring-theory
order-theory
An order type $\tau$ equal to its power $\tau^n, n>2$
set-theory
order-theory
ordinals
Are ideals in rings and lattices related?
ring-theory
order-theory
ideals
lattice-orders
Ordinal interpretation of Friedman's $n$?
logic
proof-writing
order-theory
ordinals
trees
A "Cantor-Schroder-Bernstein" theorem for partially-ordered-sets
elementary-set-theory
examples-counterexamples
order-theory
Let G be an abelian group, and let a∈G. For n≥1,let G[n;a] := {x∈G:x^n =a}. Show that G[n; a] is either empty or equal to αG[n] := {αg : g ∈ G[n]}... [closed]
group-theory
number-theory
order-theory
abelian-groups
cyclic-groups
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