Results 21 to 30 of about 21,654,511 (186)
The coefficients of transitivity of the posets of MM-type being the highest supercritical poset
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022 The representations of partially ordered sets (abbreviated as posets), introduced by L. A. Nazarova and A. V. Roiter (in matrix form) in 1972, play an important role in the modern representation theory. In his first paper on this topic M. M.
В. М. Бондаренко +2 more
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A general bound for the induced poset saturation problem
European Conference on Combinatorics, Graph Theory and Applications, 2023 For a fixed poset $P$, a family $\mathcal F$ of subsets of $[n]$ is induced $P$-saturated if $\mathcal F$ does not contain an induced copy of $P$, but for every subset $S$ of $[n]$ such that $ S\not \in \mathcal F$, then $P$ is an induced subposet of ...
Andrea Freschi +3 more
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Injective and projective poset acts
Quasigroups And Related Systems, 2023 In this paper, after recalling the category {\bf PosAct}-$S$ of all poset acts over a pomonoid $S$; an $S$-act in the category {\bf Pos} of all posets, with action preserving monotone maps between them, some categorical properties of the category {\bf ...
L. Shahbaz
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Adjoint Relations Between the Category of Poset Acts and Some Other Categories
Tamkang Journal of Mathematics, 2022 In this paper, first the congruences in the category PosAct-S of all poset acts over a pomonoid S; an S-act in the category Pos of all posets, with action preserving monotone maps between them, are introduced. Then, we study the existence of the free and
L. Shahbaz
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The Index and Spectrum of Lie Poset Algebras of Types B, C, and D [PDF]
Electronic Journal of Combinatorics, 2020 We define posets of types B, C, and D. These posets encode the matrix forms of certain Lie algebras which lie between the algebras of upper-triangular and diagonal matrices.
Vincent E. Coll +2 more
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Categorical Properties of Down Closed Embeddings [PDF]
Sahand Communications in Mathematical Analysis, 2022 Let $\mathcal M$ be a class of (mono)morphisms in a category $\mathcal A$. To study mathematical notions, such as injectivity, tensor products, flatness, one needs to have some categorical and algebraic information about the pair (${\mathcal A ...
Leila Shahbaz
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Stanley's conjectures on the Stern poset [PDF]
Discrete Mathematics, 2020 The Stern poset $\mathcal{S}$ is a graded infinite poset naturally associated to Stern's triangle, which was defined by Stanley analogously to Pascal's triangle. Let $P_n$ denote the interval of $\mathcal{S}$ from the unique element of row $0$ of Stern's
A. Yang
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An extension of Tamari lattices [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 For any finite path $v$ on the square lattice consisting of north and east unit steps, we construct a poset Tam$(v)$ that consists of all the paths lying weakly above $v$ with the same endpoints as $v$.
Louis-François Préville-Ratelle +1 more
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COGENERATOR AND SUBDIRECTLY IRREDUCIBLE IN THE CATEGORY OF S-POSETS [PDF]
Journal of Algebraic Systems, 2015 In this paper we study the notions of cogenerator and subdirectlyirreducible in the category of S-poset. First we give somenecessary and sufficient conditions for a cogenerator $S$-posets.Then we see that under some conditions, regular injectivityimplies
Gholamreza Moghaddasi
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Poset topology of $s$ weak order via SB-labelings [PDF]
Journal of Combinatorics, 2020 Ceballos and Pons generalized weak order on permutations to a partial order on certain labeled trees, thereby introducing a new class of lattices called $s$-weak order.
Stephen Lacina
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