Results 51 to 60 of about 523 (235)

Posets having a selfdual interval poset [PDF]

Czechoslovak Mathematical Journal, 1994
Let \(P\) be a partially ordered set every interval of which contains a finite maximal chain. The author poses the problem when the poset \((\text{Int } P, \subseteq)\) of all intervals in \(P\) is selfdual. Let \(U\), \(V\) be equivalence relations on \(P\) with the properties: (i) if \(a\in P\) then \([a] U=\langle u_ 1, v_ 1\rangle\), \([a] V ...
openaire   +2 more sources

SPERNER THEOREMS FOR UNRELATED COPIES OF POSETS AND GENERATING DISTRIBUTIVE LATTICES

Ural Mathematical Journal
For a finite poset (partially ordered set) \(U\) and a natural number \(n\), let \(S(U,n)\) denote the largest number of pairwise unrelated copies of  \(U\) in the powerset lattice (AKA subset lattice) of an \(n\)-element set.
Gábor Czédli
doaj   +1 more source

Open Set Lattices of Subspaces of Spectrum Spaces

Demonstratio Mathematica, 2015
We take a unified approach to study the open set lattices of various subspaces of the spectrum of a multiplicative lattice L. The main aim is to establish the order isomorphism between the open set lattice of the respective subspace and a sub-poset of L.
Nai Y.T., Zhao D.
doaj   +1 more source

New Hopf Structures on Binary Trees [PDF]

Discrete Mathematics & Theoretical Computer Science, 2009
The multiplihedra $\mathcal{M}_{\bullet} = (\mathcal{M}_n)_{n \geq 1}$ form a family of polytopes originating in the study of higher categories and homotopy theory. While the multiplihedra may be unfamiliar to the algebraic combinatorics community, it is
Stefan Forcey, Aaron Lauve, Frank Sottile   +2 more
doaj   +1 more source

On a criterion of the finiteness of the representation type for families of the categories of injective representations

Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022
The representations of posets (partially ordered sets), introduced by L. A. Nazarova and A. V. Roiter in 1972, play an important role in the modern representation theory and its applications. M. M.
В. М. Бондаренко, М. В. Стьопочкіна   +1 more
doaj   +1 more source

Inquiry and Logical Form

Philosophical Perspectives, EarlyView.
ABSTRACT Joint inquiry requires agents to exchange public content about some target domain, which in turn requires them to track which content a linguistic form contributes to a conversation. But, often, the inquiry delivers a necessary truth. For example, if we are inquiring whether a particular bird, Tweety, is a woodpecker, and discover that it is ...
Una Stojnić, Matthew Stone
wiley   +1 more source

Subpullbacks and coproducts of $S$-posets [PDF]

Categories and General Algebraic Structures with Applications, 2015
In 2001, S. Bulman-Fleming et al. initiated the study of three flatness properties (weakly kernel flat, principally weakly kernel flat, translation kernel flat) of right acts $A_{S}$ over a monoid $S$ that can be described by means of when the functor ...
Xingliang Liang, Yanfeng Luo
doaj  

Weighted partitions [PDF]

Discrete Mathematics & Theoretical Computer Science, 2013
In this extended abstract we consider the poset of weighted partitions Π _n^w, introduced by Dotsenko and Khoroshkin in their study of a certain pair of dual operads.
Rafael González S. D'León, Michelle L. Wachs   +1 more
doaj   +1 more source

Realization of Posets

Journal of Graph Algorithms and Applications, 2002
We prove a very general representation theorem for posets and, as a corollary, deduce that any abstract simplicial complex S has a geometric realization in the Euclidean space of dimension P(S)-1, where P(S) is the Dushnik-Miller dimension of the face order of S.
openaire   +4 more sources

Growth problems in diagram categories

Bulletin of the London Mathematical Society, EarlyView.
Abstract In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.
Jonathan Gruber, Daniel Tubbenhauer
wiley   +1 more source