\(S\)-posets
Weak factorization systems and fibrewise regular injectivity for actions of pomonoids on posets
... class of all order-embedding S-act maps. We then find that every Emb- injective object in Pos-S/B is split epimorphism in Pos-S. In section 3, we continue studying Emb-injectivity using a fibrewise notion of complete ...
15
Supersaturation in posets and applications involving the container method
... for posets: given a finite poset P and a positive integer m ≤ |P |, what is the minimum number of comparable pairs in a subset S of P of cardinality m? An early result in this direction is due to Kleitman [23] who ...
35
On regular torsionless \(S\)-posets
... some basic properties of regular torsionless S-posets. In particular, we discuss when regular torsionless property is preserved under coproducts and give the conditions over which the amalgamated coproduct A(I), ...
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Minimax isomorphism algorithm and primitive posets
... of posets, and a close notion of minimax isomorphism, introduced by the author are widely used in the study of quadratic Tits forms (in particular, for the description of P -critical and P-supercritical ...all ...
7
On fully wild categories of representations of posets
... socle projective modules over the incidence algebra kI of I, see [25]. A consequence of the Nazarova’s result and its proof is that the category of prinjective modules over kI is fully wild (in the sense of [26, ...
21
Subpullbacks and Po-flatness Properties of S-posets
... In (Golchin A. and Rezaei P., Subpullbacks and flatness properties of S-posets. Comm. Algebra. 37: 1995-2007 (2009)) study was initiated of flatness properties of right -posets over a pomonoid that can be ...
9
FO model checking on posets of bounded width
... since posets can be seen both as dense graphs and as algebraic ...on posets parameterized by ϕ is not fixed parameter tractable unless FPT = W[1], motivating the study of FO model checking on restricted ...
17
Involution Posets of Non-Crystallographic Coxeter Groups
... involution posets of Coxeter groups of type H , excluding the identity, is the set of order 2 elements of the group (or involutions of the group) ...Involution posets, we are specifically taking the set of ...
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Categorical properties of regular monomorphisms of $S$-posets
... One of the very useful notions in many branches of mathematics as well as in computer science is the action of a semigroup or a monoid on a set. Such acts corresponds to rep- resentation of monoids. Also the action of a ...
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Algorithmic computation of principal posets using Maple and Python
... A b s t r ac t . We present symbolic and numerical algorithms for a computer search in the Coxeter spectral classification prob- lems. One of the main aims of the paper is to study finite posets I that are ...
37
On finite posets of \(\pmb{inj}\)-finite type and their Tits forms
... The quadratic Tits form, introduced by P. Gabriel [1] for quivers, S. Brenner [2] for quivers with relations, Yu. A. Drozd [3] for posets, etc. plays an important role in representation theory (see e.g. the ...
5
On Thin Posets and Categorification.
... support homology theories, outlining how these can be used to categorify ring elements (usually polynomials) of a certain form (rank-alternating sums over thin posets). In Chapter 3, we use a result from Chapter 2 ...
101
X posets of certain Coxeter groups
... Abstract. Let X be a subgroup of a Coxeter group W . In [5], the authors developed the notion of X-posets, which are defined on certain equivalence classes of the (right) cosets of X in W . These posets can ...
20
On blockers in bounded posets
... In Section 2, the notion of intersecter plays a role analogous to that played by the notion of blocking set in the Boolean lattice of all subsets of a finite set. In Section 3, we explore the structure of subposets of ...
8
Quotients Derived from Posets in Algebraic and Topological Combinatorics.
... The sequence OEIS A071356 is the coefficient sequence of an ordinary generating function similar to the Catalan numbers. We show using generating function arguments that the sequence counts several families of ...
103
A horizontal mesh algorithm for posets with positive Tits form
... Recall that in [17] the Tits roots were applied to get a classification of two-peak sincere posets of finite prinjective type. Therefore, it is of importance to have efficient combinatorial algorithms that compute ...
22
Forbidden 3 Colored Posets of Cover Incomparable Line Graphs
... of posets, or shortly C-I graphs, were introduced in [2] as the underlying graphs of the standard interval function or transit function on posets (for more on transit functions in discrete structures ...
8
A Framework for Coxeter Spectral Classification of Finite Posets and Their Mesh Geometries of Roots
... finite posets 𝐽 ≡ (𝐽, ...of posets in representation theory explained by Drozd ...of posets 𝐽 such that the symmetric Gram matrix 𝐺 𝐽 := (1/2)[𝐶 𝐽 + 𝐶 tr 𝐽 ] ∈ M 𝐽 (Q) is positive semidefinite, where ...
23
Reversible fuzzy posets
... Fuzzy Posets (F-Posets) and study some class of reversible ...fuzzy posets, reversible fuzzy posets and its relation with crisp notion are also ...
12
Applications of fixed point theory to extended Nash equilibriums of nonmonetized noncooperative games on posets
... in posets and by using the order-preserving property of mappings, we prove an existence theorem of extended Nash equilibriums for nonmonetized noncooperative ...
13