poset

[′pō‚set]

(mathematics)

Pos’et

an urban-type settlement in Khasan Raion, Primor’e Krai, RSFSR. Pos’et is a port on Pos’et Bay of the Sea of Japan. There is a railroad station in the city. Pos’et has a fishing industry. The city was named in honor of the Russian navigator and admiral K. N. Pos’et (1819–89).

poset

partially ordered set

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References in periodicals archive ?

In a standard way, every poset can be considered as a category, and monotone mappings between posets can be considered as functors.

Quotients and subalgebras of sup-algebras/Sup-algebrate faktor- ja alamalgebrad

As a poset, it decomposes into levels, the levels of a poset P being defined inductively by the formula [P.

The profile of relations *

A subset A of a poset (S, [less than or equal to]) is said to be a down-set if s [member of] A whenever s [less than or equal to] a for s [member of] S, a [member of] A.

Injective hulls for posemigroups/Jarjestatud poolruhmade injektiivsed katted

This allows us to compute these algebraic invariants using the combinatorics of the poset, which we do for certain classes of left regular bands in the next section.

Poset topology and homological invariants of algebras arising in algebraic combinatorics

A poset is called an (S, T)-biposet if it is a left Sand a right T-poset and its S- and T-actions commute with each other.

Morita invariants for partially ordered semigroups with local units/Lokaalsete uhikutega osaliselt jarjestatud poolruhmade Morita invariandid

Then ( L, [less than or equal to]) is a poset and for any x, y [member of] L, x [conjunction] y is the inf{x, y} and x [disjunction] y the sup{x, y}.

The generalized f-derivations of lattices

We define the set of nonnesting partitions NN([PHI]) of [PHI] as the set of antichains in the root poset of [PHI].

On the H-triangle of generalised nonnesting partitions

Since dom g is a down-set in the poset [0, 1], also h(a) [member of] dom g, and hence a [member of] dom (gh).

Morita theorems for partially ordered monoids/Morita-teoreemid osaliselt jarjestatud monoidide jaoks

Let P be a poset on [n] which is a sub-order of the usual total linear order.

Supercharacters of unipotent groups defined by involutions (extended abstract)

We will now use the reverse composition poset to define standard reverse composition tableaux.

Quasisymmetric Schur functions and modules of the 0-Hecke algebra

Recall the one-variable Mobius function of a poset, [mu]: P [right arrow] Z, is defined recursively by

Factorization of the characteristic polynomial of a lattice using quotient posets

However, O'Hara's construction does not give a symmetric chain decomposition of the poset L(l, m) of partitions which fit the l x m rectangle (in other words, the difference between successive partitions is not always a corner).