Journal of Pure and Applied Algebra, ISSN 0022-4049, 10/2019, Volume 223, Issue 10, pp. 4161 - 4170

The study of algebraic properties of ordered structures has shown that their behavior in many cases is different from algebraic structures. For example, the...

Dcpo map | Pre-congruence | Directed complete partially ordered set | Quotient | Dcpo congruence | MATHEMATICS | MATHEMATICS, APPLIED

Dcpo map | Pre-congruence | Directed complete partially ordered set | Quotient | Dcpo congruence | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 06/2015, Volume 367, Issue 6, pp. 4319 - 4337

Poset limits and exchangeable random posets, Combinatorica (2011), 529-563] defined limits of finite posets in parallel to the emerging theory of limits of...

Regularity Lemma | Partially ordered set | Ordered probability space | Homomorphism density | Poset kernel | poset kernel | MATHEMATICS | partially ordered set | ordered probability space | GRAPHS

Regularity Lemma | Partially ordered set | Ordered probability space | Homomorphism density | Poset kernel | poset kernel | MATHEMATICS | partially ordered set | ordered probability space | GRAPHS

Journal Article

Journal of Applied Logic, ISSN 1570-8683, 07/2016, Volume 16, pp. 60 - 71

A poset is representable if it can be embedded in a field of sets in such a way that existing finite meets and joins become intersections and unions...

Poset | Elementary class | Partially ordered set | Representation | Axiomatization | MATHEMATICS, APPLIED | LOGIC | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | PRIME | BOOLEAN RINGS | SEMILATTICES | LATTICES | COMPUTER SCIENCE, THEORY & METHODS | Mathematics - Logic

Poset | Elementary class | Partially ordered set | Representation | Axiomatization | MATHEMATICS, APPLIED | LOGIC | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | PRIME | BOOLEAN RINGS | SEMILATTICES | LATTICES | COMPUTER SCIENCE, THEORY & METHODS | Mathematics - Logic

Journal Article

Proceedings of the Jangjeon Mathematical Society, ISSN 1598-7264, 2014, Volume 18, Issue 1, pp. 65 - 73

Journal Article

Order, ISSN 0167-8094, 11/2018, Volume 35, Issue 3, pp. 489 - 493

Let f(n) be the largest integer such that every poset on n elements has a 2-dimensional subposet on f(n) elements. What is the asymptotics of f(n)? It is easy...

Poset dimension | Algebra | Extremal combinatorics | Partially ordered sets | Permutation matrices | Mathematics | Order, Lattices, Ordered Algebraic Structures | Discrete Mathematics | MATHEMATICS | CONJECTURE | Computer science

Poset dimension | Algebra | Extremal combinatorics | Partially ordered sets | Permutation matrices | Mathematics | Order, Lattices, Ordered Algebraic Structures | Discrete Mathematics | MATHEMATICS | CONJECTURE | Computer science

Journal Article

International Journal of Algebra and Computation, ISSN 0218-1967, 06/2019, Volume 29, Issue 4, pp. 699 - 711

We use model theoretic techniques and games to construct explicit first-order axiomatizations for the classes of posets that can be represented as systems of...

MATHEMATICS | PRIME | partially ordered set | recursive axiomatization | axioms from games | Poset | poset representation | Mathematics - Logic

MATHEMATICS | PRIME | partially ordered set | recursive axiomatization | axioms from games | Poset | poset representation | Mathematics - Logic

Journal Article

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, ISSN 0126-6705, 05/2019, Volume 42, Issue 3, pp. 995 - 1009

Let (P,) be a partially ordered set with a least element 0. The regular digraph of ideals of P, denoted by P), is a digraph whose vertex-set is the set of all...

MATHEMATICS | Partially ordered set | DIVISOR GRAPH | Planar graph | Regular digraph | IDEALS

MATHEMATICS | Partially ordered set | DIVISOR GRAPH | Planar graph | Regular digraph | IDEALS

Journal Article

Fuzzy Sets and Systems, ISSN 0165-0114, 03/2020, Volume 382, pp. 98 - 109

Multi-posets as the generalization of quantum B-algebras and partially ordered semigroups etc. were firstly introduced and studied by Rump. In this paper, we...

Completion | Quantum B-algebra | Partially ordered semigroup | Consistent quantic nucleus | Multi-poset | MATHEMATICS, APPLIED | INJECTIVE HULLS | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS

Completion | Quantum B-algebra | Partially ordered semigroup | Consistent quantic nucleus | Multi-poset | MATHEMATICS, APPLIED | INJECTIVE HULLS | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS

Journal Article

Random Structures & Algorithms, ISSN 1042-9832, 12/2013, Volume 43, Issue 4, pp. 429 - 451

We consider generalizations of the classical secretary problem, also known as the problem of optimal choice, to posets where the only information we have is...

partially ordered sets | secretary problem | optimal choice | Optimal choice | Partially ordered sets | Secretary problem | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS | MATHEMATICS, APPLIED | Algorithms | Studies

partially ordered sets | secretary problem | optimal choice | Optimal choice | Partially ordered sets | Secretary problem | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS | MATHEMATICS, APPLIED | Algorithms | Studies

Journal Article

Algebra universalis, ISSN 0002-5240, 10/2016, Volume 76, Issue 2, pp. 231 - 235

It is known that nontrivial ultraproducts of complete partially ordered sets (posets) are almost never complete. We show that complete additivity of functions...

ultraproducts | Boolean algebras with Operators | Algebra | 06B35 | partially ordered sets | Mathematics | continuous functions | Primary: 06A06 | Secondary: 03C20 | 06E25 | MATHEMATICS | Mathematics - Logic

ultraproducts | Boolean algebras with Operators | Algebra | 06B35 | partially ordered sets | Mathematics | continuous functions | Primary: 06A06 | Secondary: 03C20 | 06E25 | MATHEMATICS | Mathematics - Logic

Journal Article

Algebra universalis, ISSN 0002-5240, 10/2014, Volume 72, Issue 2, pp. 167 - 200

We study a construction that produces a variety of completions of a given poset. The denseness and compactness properties of the completions obtained in this...

canonical extensions | filters of posets | Algebra | poset extensions | 06A11 | Primary: 06B23 | extension of maps | Mathematics | Secondary: 06A15 | 06A06 | 03G10 | MATHEMATICS | COMPLETIONS | PARTIALLY ORDERED SETS | EXPANSIONS | LOGICS

canonical extensions | filters of posets | Algebra | poset extensions | 06A11 | Primary: 06B23 | extension of maps | Mathematics | Secondary: 06A15 | 06A06 | 03G10 | MATHEMATICS | COMPLETIONS | PARTIALLY ORDERED SETS | EXPANSIONS | LOGICS

Journal Article

SIAM Journal on Computing, ISSN 0097-5397, 2011, Volume 40, Issue 3, pp. 597 - 622

Classical problems of sorting and searching assume an underlying linear ordering of the objects being compared. In this paper, we study these problems in the...

Partially ordered sets | Transitive relations | Query complexity | Chain decomposition | Selection | Sorting | MATHEMATICS, APPLIED | partially ordered sets | selection | chain decomposition | query complexity | sorting | COMPUTER SCIENCE, THEORY & METHODS | transitive relations | PAIRS | Mathematical problems | Studies | Optimization algorithms | Complexity theory

Partially ordered sets | Transitive relations | Query complexity | Chain decomposition | Selection | Sorting | MATHEMATICS, APPLIED | partially ordered sets | selection | chain decomposition | query complexity | sorting | COMPUTER SCIENCE, THEORY & METHODS | transitive relations | PAIRS | Mathematical problems | Studies | Optimization algorithms | Complexity theory

Journal Article

Social Indicators Research, ISSN 0303-8300, 4/2018, Volume 136, Issue 3, pp. 1071 - 1088

The aim of this work is to propose a tool for measuring a complex concept, and to apply it to big sets of data measured on ordinal and/or dichotomous scales....

Public Health | Social Sciences | Synthetic measure | Human Geography | Quality of Life Research | Microeconomics | Partially ordered sets | Sociology, general | Quality of life | Ordinal data | AVERAGED RANKS | QUALITY | SOCIAL SCIENCES, INTERDISCIPLINARY | PARTIAL ORDERS | SOCIOLOGY | Research | Ordered sets | Social science research | Satisfaction | Datasets | Social research | Social sciences | Big Data | Sex differences | Propositions | Life satisfaction | Sociodemographics

Public Health | Social Sciences | Synthetic measure | Human Geography | Quality of Life Research | Microeconomics | Partially ordered sets | Sociology, general | Quality of life | Ordinal data | AVERAGED RANKS | QUALITY | SOCIAL SCIENCES, INTERDISCIPLINARY | PARTIAL ORDERS | SOCIOLOGY | Research | Ordered sets | Social science research | Satisfaction | Datasets | Social research | Social sciences | Big Data | Sex differences | Propositions | Life satisfaction | Sociodemographics

Journal Article

European Journal of Combinatorics, ISSN 0195-6698, 11/2011, Volume 32, Issue 8, pp. 1253 - 1281

Bipartitional relations were introduced by Foata and Zeilberger in their characterization of relations which give rise to equidistribution of the associated...

MATHEMATICS | DISCRETE MORSE FUNCTIONS | PARTIALLY ORDERED SETS | COMPLEXES | Intervals | Equivalence | Lattices | Inversions | Tools | Boolean algebra | Statistics | Combinatorial analysis

MATHEMATICS | DISCRETE MORSE FUNCTIONS | PARTIALLY ORDERED SETS | COMPLEXES | Intervals | Equivalence | Lattices | Inversions | Tools | Boolean algebra | Statistics | Combinatorial analysis

Journal Article

MATHEMATICA SLOVACA, ISSN 0139-9918, 02/2018, Volume 68, Issue 1, pp. 21 - 32

Fiala and Jukl associated the zero-divisor graph G to a poset (X, <=) with zero by declaring two distinct elements x and y of X to be adjacent if and only if...

MATHEMATICS | zero-divisor graph | COMMUTATIVE RING | reduced graph | partially ordered set | serried graph | NEUMANN REGULAR-RINGS | Graph theory | Research | Mathematical research | Ordered sets | Lower bounds | Graphs | Set theory | Vertex sets

MATHEMATICS | zero-divisor graph | COMMUTATIVE RING | reduced graph | partially ordered set | serried graph | NEUMANN REGULAR-RINGS | Graph theory | Research | Mathematical research | Ordered sets | Lower bounds | Graphs | Set theory | Vertex sets

Journal Article

Journal of Macroeconomics, ISSN 0164-0704, 03/2015, Volume 43, pp. 108 - 123

•We introduce partially ordered set (POSET) theory to measure objects based on ordinal data.•We calculate POSET indices of the stringency of fiscal rules in 81...

Public finances | Partially ordered set theory (POSET) | Fiscal rules | Index functions | EUROPE | POLICY | STABILITY | BIAS | ECONOMICS | PANEL-DATA MODELS | OUTCOMES | RANKING | Fiscal policy | Analysis

Public finances | Partially ordered set theory (POSET) | Fiscal rules | Index functions | EUROPE | POLICY | STABILITY | BIAS | ECONOMICS | PANEL-DATA MODELS | OUTCOMES | RANKING | Fiscal policy | Analysis

Journal Article

European Journal of Combinatorics, ISSN 0195-6698, 04/2014, Volume 37, pp. 79 - 99

We discuss a possible characterization, by means of forbidden configurations, of posets which are embeddable in a product of finitely many scattered chains.

MATHEMATICS | PARTIALLY ORDERED SETS | Mathematical analysis | Set theory | Combinatorial analysis | Computer Science | Discrete Mathematics

MATHEMATICS | PARTIALLY ORDERED SETS | Mathematical analysis | Set theory | Combinatorial analysis | Computer Science | Discrete Mathematics

Journal Article

Discrete Mathematics, ISSN 0012-365X, 05/2013, Volume 313, Issue 10, pp. 1053 - 1062

In this paper, the concept of a zero-divisor graph is extended to partially ordered sets with a least element 0. A notion of an annihilator set in a graph is...

Partially ordered set | Boolean algebra | Zero-divisor graph | Annihilator | MATHEMATICS | RINGS | ZERO-DIVISOR GRAPHS | Algebra

Partially ordered set | Boolean algebra | Zero-divisor graph | Annihilator | MATHEMATICS | RINGS | ZERO-DIVISOR GRAPHS | Algebra

Journal Article

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