Results 71 to 80 of about 6,492 (203)
Split Hausdorff internal topologies on posets
Open Mathematics, 2019 In this paper, the concepts of weak quasi-hypercontinuous posets and weak generalized finitely regular relations are introduced. The main results are: (1) when a binary relation ρ : X ⇀ Y satisfies a certain condition, ρ is weak generalized finitely ...
Luo Shuzhen, Xu Xiaoquan
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L-Fuzzy Semiprime Ideals of a Poset
Advances in Fuzzy Systems, 2020 In this paper, we introduce the concept of L-fuzzy semiprime ideal in a general poset. Characterizations of L-fuzzy semiprime ideals in posets as well as characterizations of an L-fuzzy semiprime ideal to be L-fuzzy prime ideal are obtained.
Berhanu Assaye Alaba +1 more
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On the cardinality of layers in even-valued n-dimensional lattice
Учёные записки Казанского университета: Серия Физико-математические науки, 2022 In this article, we explicitly calculated terms additional to the main one of cardinality asymptotics of central layers in the n-dimensional k-valued lattice Ekn for even k as n → ∞. The main term had been found by V.B.
T.V. Andreeva, Yu.S. Semenov
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Equivariant spaces of matrices of constant corank one
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract We classify all irreducible G$G$‐equivariant subspaces of Hom(V1,V2)$\operatorname{Hom}(V_1,V_2)$ of constant corank one, where G$G$ is a reductive group over an algebraically closed field of characteristic zero and Vi$V_i$ are irreducible representations.
Ada Boralevi +2 more
wiley +1 more source
Eulerian posets and Z $Z$ upper Z -polynomials
Forum of Mathematics, SigmaLet P $P$ upper P be a finite partially ordered set. In a recent series of works, Proudfoot introduced the notion of Z $Z$ upper Z -polynomials associated with P $P$ upper P -kernels, providing a unified framework for various intersection
Luis Ferroni, Roberto Riccardi
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Tree metrics and log‐concavity for matroids
Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.Abstract We show that a set function ν$\nu$ satisfies the gross substitutes property if and only if its homogeneous generating polynomial Zq,ν$Z_{q,\nu }$ is a Lorentzian polynomial for all positive q⩽1$q \leqslant 1$, answering a question of Eur–Huh.
Federico Ardila‐Mantilla +5 more
wiley +1 more source
The Electronic Journal of Combinatorics, 2005 Macaulay posets are posets for which there is an analogue of the classical Kruskal-Katona theorem for finite sets. These posets are of great importance in many branches of combinatorics and have numerous applications. We survey mostly new and also some old results on Macaulay posets, where the intention is to present them as pieces of a general theory.
Bezrukov, Sergei L., Leck, Uwe
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Sorting and Selection in Posets [PDF]
Proceedings of the Twentieth Annual ACM-SIAM Symposium on Discrete Algorithms, 2009 Classical problems of sorting and searching assume an underlying linear ordering of the objects being compared. In this paper, we study a more general setting, in which some pairs of objects are incomparable. This generalization is relevant in applications related to rankings in sports, college admissions, or conference submissions.
Constantinos Daskalakis +4 more
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, 2002 Poset games are two-player impartial combinatorial games, with normal play convention. Starting with any poset, the players take turns picking an element of the poset, and removing that and all larger elements from the poset.
Steven Byrnes, Byrnes, Steven
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Interpolation categories for conformal embeddings
Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.Abstract In this paper, we give a diagrammatic description of the categories of modules coming from the conformal embeddings V(slN,N)⊂V(soN2−1,1)$\mathcal{V}({\mathfrak{sl}}_{N},N)\subset \mathcal{V}({\mathfrak{so}}_{{N}^{2}-1},1)$. A small variant of this construction (morally corresponding to a conformal embedding of glN${\mathfrak{gl}}_{N}$ level N ...
Cain Edie‐Michell, Noah Snyder
wiley +1 more source