Osaka Journal of Mathematics, ISSN 0030-6126, 2015, Volume 52, Issue 1, pp. 161 - 204

In this paper, we will introduce a simplicial complex T-Q(H) defined by a quiver Q and a family H of paths in Q. We call T-Q(H) a path complex of H in Q. Let G...

MATHEMATICS | 55U10 | 20E15 | 06A11

MATHEMATICS | 55U10 | 20E15 | 06A11

Journal Article

Order, ISSN 0167-8094, 06/2019

We consider three notions of connectivity and their interactions in partially ordered sets coming from reduced factorizations of an element in a generated...

Journal Article

Bulletin of the London Mathematical Society, ISSN 0024-6093, 08/2017, Volume 49, Issue 4, pp. 549 - 560

polytopes are combinatorial structures obeying certain axioms that generalise both classical convex geometric polytopes (like the Platonic solids) and maps on...

20B25 (secondary) | 06A11 | 52B15 (primary); 05E18 | MATHEMATICS | POLYTOPES | RANK

20B25 (secondary) | 06A11 | 52B15 (primary); 05E18 | MATHEMATICS | POLYTOPES | RANK

Journal Article

Communications in Algebra, ISSN 0092-7872, 05/2019, Volume 47, Issue 5, pp. 1841 - 1852

Let be a 2-torsion free commutative ring with unity, X a locally finite preordered set and the incidence algebra of X over . If X consists of a finite number...

Lie triple derivation | 06A11 | Derivation | Primary 16W25 | Secondary 16W10 | 47L35 | incidence algebra | Incidence

Lie triple derivation | 06A11 | Derivation | Primary 16W25 | Secondary 16W10 | 47L35 | incidence algebra | Incidence

Journal Article

Combinatorica, ISSN 0209-9683, 6/2018, Volume 38, Issue 3, pp. 709 - 737

From a given abstract n-polytope P and a given integer k we derive two abstract polytopes Cl k (P) and $${\widetilde {Cl}_k}\left( P \right)$$ C l ˜ k ( P ) of...

06A11 | Mathematics, general | Mathematics | 52B15 | Combinatorics | 05E45 | 52B70 | 06A07 | MATHEMATICS | MONODROMY | MAPS | POLYHEDRA

06A11 | Mathematics, general | Mathematics | 52B15 | Combinatorics | 05E45 | 52B70 | 06A07 | MATHEMATICS | MONODROMY | MAPS | POLYHEDRA

Journal Article

Journal of the American Mathematical Society, ISSN 0894-0347, 01/2015, Volume 28, Issue 1, pp. 63 - 97

from G^{k}. We say that w if given uniform distribution on G^{k}. It is easy to see that primitive words (words which belong to some basis of the free group)...

MATHEMATICS | EQUATIONS | MAPS | EXPANDERS | CHARACTERS | GRAPHS

MATHEMATICS | EQUATIONS | MAPS | EXPANDERS | CHARACTERS | GRAPHS

Journal Article

Journal of Pure and Applied Algebra, ISSN 0022-4049, 05/2017, Volume 221, Issue 5, pp. 1218 - 1241

To a natural number n, a finite partially ordered set P and a poset ideal J in the poset Hom(P,[n]) of isotonian maps from P to the chain on n elements, we...

MATHEMATICS | MATHEMATICS, APPLIED | GROBNER BASES | SIMPLICIAL COMPLEXES | RESOLUTIONS | RINGS | Mathematics - Commutative Algebra

MATHEMATICS | MATHEMATICS, APPLIED | GROBNER BASES | SIMPLICIAL COMPLEXES | RESOLUTIONS | RINGS | Mathematics - Commutative Algebra

Journal Article

Advances in Pure and Applied Mathematics, ISSN 1867-1152, 01/2019, Volume 10, Issue 1, pp. 27 - 63

To any poset or quasi-poset is attached a lattice polytope, whose Ehrhart polynomial we study from a Hopf-algebraic point of view. We use for this two...

16T30 | Ehrhart polynomials | quasi-posets | interacting bialgebras | 06A11 | characters monoids | Duality principle | Set theory | Polynomials | Algebra

16T30 | Ehrhart polynomials | quasi-posets | interacting bialgebras | 06A11 | characters monoids | Duality principle | Set theory | Polynomials | Algebra

Journal Article

Algebra universalis, ISSN 0002-5240, 9/2019, Volume 80, Issue 3, pp. 1 - 14

We prove that persistently finite algebras are not created by completions of algebras, in any ordered discriminator variety. A persistently finite algebra is...

06B23 | Universal algebra | Discriminator varieties | Boolean algebra with operators | Ordered set | 06A11 | Algebraic logic | Mathematics | Relation algebra | Algebra | Completion | 03G15 | Dense subalgebra | 03C05 | 06A06 | 03C13 | 06E25 | MATHEMATICS | CYLINDRIC ALGEBRAS

06B23 | Universal algebra | Discriminator varieties | Boolean algebra with operators | Ordered set | 06A11 | Algebraic logic | Mathematics | Relation algebra | Algebra | Completion | 03G15 | Dense subalgebra | 03C05 | 06A06 | 03C13 | 06E25 | MATHEMATICS | CYLINDRIC ALGEBRAS

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 12/2018, Volume 68, Issue 6, pp. 1313 - 1320

It is well known that every MV-algebra can be converted into a residuated lattice satisfying divisibility and the double negation law. In a previous paper the...

directoid | 06A11 | non-associative MV-algebra | residuated poset | Primary 06D35 | conditional adjointness | Secondary 03G10 | MV-algebra | Conditional adjointness | Directoid | Non-associative MV-algebra | Residuated poset | MATHEMATICS

directoid | 06A11 | non-associative MV-algebra | residuated poset | Primary 06D35 | conditional adjointness | Secondary 03G10 | MV-algebra | Conditional adjointness | Directoid | Non-associative MV-algebra | Residuated poset | MATHEMATICS

Journal Article

Experimental Mathematics, ISSN 1058-6458, 04/2019, Volume 28, Issue 2, pp. 181 - 184

We present results of a computer search for partially ordered sets (posets) with fairly small value of the balance constant. The motivation behind this work...

Poset | 1/3-2/3 Conjecture | linear extension | Golden Partition Conjecture | 06A11 | balance constant | 1/3–2/3 Conjecture | 3 Conjecture | MATHEMATICS | 3-2

Poset | 1/3-2/3 Conjecture | linear extension | Golden Partition Conjecture | 06A11 | balance constant | 1/3–2/3 Conjecture | 3 Conjecture | MATHEMATICS | 3-2

Journal Article

Archive for Mathematical Logic, ISSN 0933-5846, 5/2019, Volume 58, Issue 3, pp. 501 - 526

This article describes well quasi orders as a category, focusing on limits and colimits. In particular, while quasi orders with monotone maps form a category...

Algebra | 06A75 | Well founded quasi order | 06A11 | 18C10 | Mathematics, general | Mathematics | Preorder categories | Exponentiation | Well quasi order | Mathematical Logic and Foundations | 03G10 | MATHEMATICS | LOGIC

Algebra | 06A75 | Well founded quasi order | 06A11 | 18C10 | Mathematics, general | Mathematics | Preorder categories | Exponentiation | Well quasi order | Mathematical Logic and Foundations | 03G10 | MATHEMATICS | LOGIC

Journal Article

Communications in Algebra, ISSN 0092-7872, 11/2016, Volume 44, Issue 11, pp. 4945 - 4972

The Möbius polynomial is an invariant of ranked posets, closely related to the Möbius function. In this paper, we study the Möbius polynomial of face posets of...

Splitting algebras | Face posets | 16W50 | Moebius function | 06A11 | Polytopes | Pyramids | Algebra | Mathematical analysis | Prisms | Set theory | Polynomials | Invariants

Splitting algebras | Face posets | 16W50 | Moebius function | 06A11 | Polytopes | Pyramids | Algebra | Mathematical analysis | Prisms | Set theory | Polynomials | Invariants

Journal Article

Selecta Mathematica, ISSN 1022-1824, 12/2019, Volume 25, Issue 5, pp. 1 - 25

In this paper, we study divisorial ideals of a Hibi ring which is a toric ring arising from a partially ordered set. We especially characterize the special...

Conic divisorial ideals | Non-commutative (crepant) resolutions | Secondary 06A11 | Hibi rings | 14M25 | Mathematics, general | Mathematics | Segre products of polynomial rings | Primary 13C14 | 16S38 | MATHEMATICS | SEMIGROUP RINGS | MATHEMATICS, APPLIED | FLOPS | MODULES

Conic divisorial ideals | Non-commutative (crepant) resolutions | Secondary 06A11 | Hibi rings | 14M25 | Mathematics, general | Mathematics | Segre products of polynomial rings | Primary 13C14 | 16S38 | MATHEMATICS | SEMIGROUP RINGS | MATHEMATICS, APPLIED | FLOPS | MODULES

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 04/2018, Volume 68, Issue 2, pp. 311 - 318

The present paper deals with invariance of nonatomic measures defined on effect algebras. Firstly, it is proved that if is a nonatomic and continuous...

probability measures | nonatomoic | Primary 06A11 | 28E99 | 28A12 | invariance | 06C15 | para-Darboux property | effect algebras | Nonatomoic | Para-Darboux property | Invariance | Effect algebras | Probability measures | MATHEMATICS | JORDAN TYPE DECOMPOSITION | THEOREM | ATOMS

probability measures | nonatomoic | Primary 06A11 | 28E99 | 28A12 | invariance | 06C15 | para-Darboux property | effect algebras | Nonatomoic | Para-Darboux property | Invariance | Effect algebras | Probability measures | MATHEMATICS | JORDAN TYPE DECOMPOSITION | THEOREM | ATOMS

Journal Article

Algebras and Representation Theory, ISSN 1386-923X, 12/2019, Volume 22, Issue 6, pp. 1331 - 1341

Let P be a partially ordered set, R a commutative unital ring and F I(P,R) the finitary incidence algebra of P over R. We prove that each R-linear higher...

Primary 16S50, 16W25 | Secondary 16G20, 06A11 | Associative Rings and Algebras | Higher derivation | Non-associative Rings and Algebras | Finitary incidence algebra | Commutative Rings and Algebras | Higher transitive map | Mathematics | Inner higher derivation | MATHEMATICS | INVOLUTIONS | JORDAN DERIVATIONS | AUTOMORPHISMS | LOCAL DERIVATIONS

Primary 16S50, 16W25 | Secondary 16G20, 06A11 | Associative Rings and Algebras | Higher derivation | Non-associative Rings and Algebras | Finitary incidence algebra | Commutative Rings and Algebras | Higher transitive map | Mathematics | Inner higher derivation | MATHEMATICS | INVOLUTIONS | JORDAN DERIVATIONS | AUTOMORPHISMS | LOCAL DERIVATIONS

Journal Article

Annals of Combinatorics, ISSN 0218-0006, 9/2014, Volume 18, Issue 3, pp. 489 - 514

To every labeled poset (P, ω), one can associate a quasisymmetric generating function for its (P, ω)-partitions. We ask: when do two labeled posets have the...

quasisymmetric function | skew Schur function | 06A11 | P -partition | 05E05 | generating function | Mathematics | Combinatorics | labeled poset | linear extension | 06A07 | P-partition | MATHEMATICS, APPLIED | Equality | Mathematics - Combinatorics

quasisymmetric function | skew Schur function | 06A11 | P -partition | 05E05 | generating function | Mathematics | Combinatorics | labeled poset | linear extension | 06A07 | P-partition | MATHEMATICS, APPLIED | Equality | Mathematics - Combinatorics

Journal Article

Journal of Combinatorial Theory, Series A, ISSN 0097-3165, 07/2018, Volume 157, pp. 49 - 69

We prove a dual version of Øystein Ore's theorem on distributive intervals in the subgroup lattice of finite groups, having a nonzero dual Euler totient φˆ....

Group | Euler totient | EL-labeling | Cohen–Macaulay | Representation | Coset poset | Boolean | Lattice | MATHEMATICS | COMPLEXES | Cohen Macaulay | POSET

Group | Euler totient | EL-labeling | Cohen–Macaulay | Representation | Coset poset | Boolean | Lattice | MATHEMATICS | COMPLEXES | Cohen Macaulay | POSET

Journal Article

Journal of the London Mathematical Society, ISSN 0024-6107, 06/2016, Volume 93, Issue 3, pp. 825 - 845

Vaughan Pratt has introduced objects consisting of pairs (A,W) where A is a set and W a set of subsets of A, such that (i) W contains ∅ and A, (ii) if C is a...

MATHEMATICS | Mathematical analysis | Formulas (mathematics)

MATHEMATICS | Mathematical analysis | Formulas (mathematics)

Journal Article

Advances in Mathematics, ISSN 0001-8708, 07/2018, Volume 333, pp. 1242 - 1292

This is the second in a trilogy of papers introducing and studying the notion of decomposition space as a general framework for incidence algebras and Möbius...

homotopy cardinality | 2-Segal space | Möbius inversion | length filtration | decomposition space | incidence algebra | Mobius inversion | MATHEMATICS | HOPF-ALGEBRAS | TREES | CATEGORIES | BIALGEBRAS | Topologia | Combinatorial topology | 55 Algebraic topology | 18G Homological algebra | Classificació AMS | Topologia algebraica | Topologia combinatòria | 06A Ordered sets | 18 Category theory; homological algebra | Matemàtiques i estadística | 06 Order, lattices, ordered algebraic structures | Algebraic topology | 55P Homotopy theory | Àrees temàtiques de la UPC

homotopy cardinality | 2-Segal space | Möbius inversion | length filtration | decomposition space | incidence algebra | Mobius inversion | MATHEMATICS | HOPF-ALGEBRAS | TREES | CATEGORIES | BIALGEBRAS | Topologia | Combinatorial topology | 55 Algebraic topology | 18G Homological algebra | Classificació AMS | Topologia algebraica | Topologia combinatòria | 06A Ordered sets | 18 Category theory; homological algebra | Matemàtiques i estadística | 06 Order, lattices, ordered algebraic structures | Algebraic topology | 55P Homotopy theory | Àrees temàtiques de la UPC

Journal Article

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