Results 91 to 100 of about 619 (166)
Richard Stanley first introduced the idea of an r-differential poset in 1988. There are two well known types of differential posets: The first is the 1-differential poset of partitions called Young’s lattice and its generalization to the k-differential k-ribbon poset, and the second is the 1-differential Fibonacci lattice Z(1) and its generalization to
Bishop, Lisa, Killpatrick, Kendra
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The aim of this paper is to generalize fuzzy continuous posets. The concept of fuzzy subset system on fuzzy posets is introduced; some elementary definitions such as fuzzy -continuous posets and fuzzy -algebraic posets are given. Furthermore, we try to find some natural classes of fuzzy -continuous maps under which the images of such fuzzy algebraic ...
Rao, S. P., Li, Q. G.
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GENERALIZED ORTHOMODULAR POSETS
The autor generalizes the notion of generalized orthomodular lattices, introduced by Janowitz, to the notion of generalized orthomodular posets GOMP. Every orthomodular poset is a GOMP. Every (weak) GOMP \(A\) can be embedded as an order ideal in an orthomodular poset \(P\) such that \(x\in A\) or \(x^ \bot\in A\) for every \(x\in P\).
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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.
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Plane posets, special posets, and permutations
We study the self-dual Hopf algebra $\h\_{\SP}$ of special posets introduced by Malvenuto and Reutenauer and the Hopf algebra morphism from $\h\_{\SP}$ to to the Hopf algebra of free quasi-symmetric functions $\FQSym$ given by linear extensions. In particular, we construct two Hopf subalgebras both isomorphic to $\FQSym$; the first one is based on ...
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We propose a generalization of positional games, supplementing them with a restriction on the order in which the elements of the board are allowed to be claimed. We introduce poset positional games, which are positional games with an additional structure -- a poset on the elements of the board.
Bagan, Guillaume +7 more
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Measuring the digital inclusion of women: a poset-based approach to the women in digital scoreboard. [PDF]
Damiani F, Rodríguez-Modroño P.
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A complete theoretical framework for inferring horizontal gene transfers using partial order sets. [PDF]
Belal NA, Heath LS.
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