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Largest Family Without a Pair of Posets on Consecutive Levels of the Boolean Lattice

期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, ; ()

Suppose k >= 2 is an integer. Let Y-k be the poset with elements x(1), x(2), y(1), y(2),..., y(k-1) such that y(1) < y(2) < ... < y(k-1) &......

Z-quasidistributive and Z-meet-distributive Posets

期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2020; 37 (1)

Given any subset selection Z for posets, we study two weakenings of the known concept of Z-predistributivity, namely, Z-quasidistributivity and Z-meet......

Twisted Weak Orders of Coxeter Groups

期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2019; 36 (3)

In this paper, we initiate the study of the twisted weak order associated to a twisted Bruhat order for a Coxeter group and explore the relationship b......

JIF:0.42

Connection Between Polynomial Optimization and Maximum Cliques of Non-Uniform Hypergraphs

期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2018; 35 (2)

In Motzkin and Straus (Canad. J. Math 498 17, 533540 1965) provided a connection between the order of a maximum clique in a graph G and the Lagrangian......

JIF:0.42

Directed Partial Orders on F (i) with 1 > 0

期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2018; 35 (3)

Let F be a non-archimedean o-field and C be the field of generalized complex numbers over F. In this paper, we describe all the directed partial order......

JIF:0.42

Directed Partial Orders on Complex Numbers and Quaternions over Non-Archimedean Linearly Ordered Fields

期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2017; 34 (1)

Let F be a non-archimedean linearly ordered field, and C and H be the field of complex numbers and the division algebra of quaternions over F, respect......

JIF:0.35

The Lattices of Kernel Ideals in Pseudocomplemented De Morgan Algebras

期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2017; 34 (1)

In a pseudocomplemented de Morgan algebra, it is shown that the set of kernel ideals is a complete Heyting lattice, and a necessary and sufficient con......

JIF:0.35

A Note on Generalized Lagrangians of Non-uniform Hypergraphs

期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2017; 34 (1)

Set A subset of N is less than B subset of N in the colex ordering if max(A Delta B)is an element of B. In 1980' s, Frankl and Furedi conjectured that......

JIF:0.35

Cartesian Closed Extensions of Subcategories of CONT

期刊: ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2017; 34 (3)

In this paper we give a uniform way of proving cartesian closedness for many new subcategories of continuous posets. We define C-P to be the category ......

JIF:0.35

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