Results 81 to 90 of about 21,654,511 (186)

Regular Schur labeled skew shape posets and their 0-Hecke modules

Forum of Mathematics, Sigma
Assuming Stanley’s P-partitions conjecture holds, the regular Schur labeled skew shape posets are precisely the finite posets P with underlying set $\{1, 2, \ldots , |P|\}$ such that the P-partition generating function is symmetric and the set of ...
Young-Hun Kim, So-Yeon Lee, Young-Tak Oh
doaj   +1 more source

Properties of products for flatness in the category of $S$-posets [PDF]

Categories and General Algebraic Structures with Applications, 2016
This paper is devoted to the study of products of classes of right $S$-posets possessing one of the flatness properties and preservation of such properties under products.
Roghaieh Khosravi, Mojtaba Sedaghatjoo
doaj  

Order dense injectivity of $S$-posets [PDF]

Categories and General Algebraic Structures with Applications, 2015
‎‎‎In this paper‎, ‎the‎ notion of injectivity with respect to order dense embeddings in ‎‎the category of $S$-posets‎, ‎posets with a monotone action of a‎ pomonoid $S$ on them‎, ‎is studied‎.
Leila Shahbaz
doaj  

On (po-)torsion free and principally weakly (po-)flat $S$-posets [PDF]

Categories and General Algebraic Structures with Applications, 2018
In this paper, we first consider (po-)torsion free and principally weakly (po-)flat $S$-posets, specifically  we discuss when (po-)torsion freeness implies principal weak (po-)flatness.
Roghaieh Khosravi, Xingliang Liang
doaj  

On Concept Lattices for Numberings

Tsinghua Science and Technology
The theory of numberings studies uniform computations for families of mathematical objects. In this area, computability-theoretic properties of at most countable families of sets S are typically classified via the corresponding Rogers upper semilattices.
Nikolay Bazhenov, Manat Mustafa, Anvar Nurakunov   +2 more
doaj   +1 more source

On direct products of S-posets satisfying flatness properties

TURKISH JOURNAL OF MATHEMATICS, 2014
In this paper we characterize pomonoids over which various flatness properties of S-posets are preserved under direct products.
openaire   +1 more source

Posets of h-vectors of standard determinantal schemes

Le Matematiche, 2015
We study the combinatorial structure of the poset H consisting of h-vectors of length s of codimension c standard determinantal schemes, defined by the maximal minors of a t × (t + c − 1) homogeneous, polynomial matrix.
Matey Mateev
doaj  

On Some General Tornheim-Type Series

Mathematics
In this paper, we solve the open problem posed by Kuba by expressing ∑j,k≥1Hk(u)Hj(v)Hj+k(w)jrks(j+k)t as a linear combination of multiple zeta values. These sums include Tornheim’s double series as a special case.
Kwang-Wu Chen
doaj   +1 more source

Bender–Knuth Billiards in Coxeter Groups

Forum of Mathematics, Sigma
Let $(W,S)$ be a Coxeter system, and write $S=\{s_i:i\in I\}$ , where I is a finite index set. Fix a nonempty convex subset $\mathscr {L}$ of W. If W is of type A, then $\mathscr {L}$ is the set of linear extensions of a poset,
Grant Barkley, Colin Defant, Eliot Hodges, Noah Kravitz, Mitchell Lee   +4 more
doaj   +1 more source

Random Fibonacci Words via Clone Schur Functions

Forum of Mathematics, Sigma
We investigate positivity and probabilistic properties arising from the Young–Fibonacci lattice $\mathbb {YF}$ , a 1-differential poset on words composed of 1’s and 2’s (Fibonacci words) and graded by the sum of the digits.
Leonid Petrov, Jeanne Scott
doaj   +1 more source