Results 21 to 30 of about 523 (235)
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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ON REGULAR PRIME INJECTIVITY OF S-POSETS [PDF]
Journal of Algebraic Systems, 2021 In this paper, we define the notion of regular prime monomorphism for $S$-posets over a pomonoid $S$ and investigate some categorical properties including products, coproducts and pullbacks.
H. Rasouli +2 more
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On posets with isomorphic interval posets [PDF]
Czechoslovak Mathematical Journal, 1999 Let \((A,\leq)\) be a partially ordered set (poset). By an interval of \(A\) is meant a nonempty set \(\{x\in A; a\leq x \leq b\}\), for some \(a,b\in A\), \(a\leq b\). Denote by \(\operatorname {Int} A\) the poset of all intervals of \(A\) ordered by set inclusion.
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Open Mathematics, 2006 AbstractThis article extends a paper of Abraham and Bonnet which generalised the famous Hausdorff characterisation of the class of scattered linear orders. They gave an inductively defined hierarchy that characterised the class of scattered posets which do not have infinite incomparability antichains (i.e. have the FAC).
Džamonja, Mirna, Thompson, Katherine
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A birational lifting of the Stanley-Thomas word on products of two chains [PDF]
Discrete Mathematics & Theoretical Computer Science, 2021 The dynamics of certain combinatorial actions and their liftings to actions at the piecewise-linear and birational level have been studied lately with an eye towards questions of periodicity, orbit structure, and invariants.
Michael Joseph, Tom Roby
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European Journal of Combinatorics, 2011 Bipartitional relations were introduced by Foata and Zeilberger in their characterization of relations which give rise to equidistribution of the associated inversion statistic and major index. We consider the natural partial order on bipartitional relations given by inclusion.
Gábor Hetyei, Christian Krattenthaler
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A two-sided analogue of the Coxeter complex [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 For any Coxeter system (W, S) of rank n, we introduce an abstract boolean complex (simplicial poset) of dimension 2n − 1 which contains the Coxeter complex as a relative subcomplex.
T. Kyle Petersen
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Kleene posets and pseudo-Kleene posets
Miskolc Mathematical Notes, 2022 The concept of a Kleene algebra (sometimes also called Kleene lattice) was already generalized by the first author for non-distributive lattices under the name pseudo-Kleene algebra. We extend these concepts to posets and show how (pseudo-)Kleene posets can be characterized by identities and implications of assigned commutative meet-directoids ...
Chajda, Ivan, Länger, Helmut
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Paths to Understanding Birational Rowmotion on Products of Two Chains [PDF]
, 2018 Birational rowmotion is an action on the space of assignments of rational functions to the elements of a finite partially-ordered set (poset). It is lifted from the well-studied rowmotion map on order ideals (equivariantly on antichains) of a poset $P ...
Musiker, Gregg, Roby, Tom
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