Cobweb posets as noncommutative prefabs
arXiv:math/0503286
Abstract
A class of new type graded infinite posets with minimal element are considered. These so called cobweb posets introduced recently by the present author provide a wide range of new noncommutative prefab combinatorial schema with characteristic graded subposets as primes. The schema are defined here via relaxing commutativity and associativity requirements imposed on the composition of prefabs by the fathers of this fertile concept. The construction and the very first basic properties of cobweb prefabs are pointed out in what follows. An another single valued commutative amd associative composision is also considered.
11 pages, 5 figures
References in corpus (1)
Cited by in corpus (25)
- On cobweb posets and their combinatorially admissible sequences
- Cobweb posets - Recent Results
- First Observations on Prefab Posets Whitney Numbers
- Fibonomial cumulative connection constants
- On Cobweb posets tiling problem
- On incidence algebras description of cobweb posets
- On Cobweb Posets and Discrete F-Boxes Tilings
- On cobweb posets most relevant codings
- On multi F-nomial coefficients and Inversion formula for F-nomial coefficients
- On GCD-morphic sequences
- Reduced Incidence algebras description of cobweb posets and KoDAGs
- How the work of Gian Carlo Rota had influenced my group research and life
- On Characteristic Polynomials of the Family of Cobweb Posets
- Graded posets inverse zeta matrix formula
- Counting Bipartite, k-Colored and Directed Acyclic Multi Graphs Through F-nomial coefficients
- Characterization of Cobweb Posets as KoDAGs
- Generalization of Fibonomial Coefficients
- On natural join of posets properties and first applications
- Natural join construction of graded posets versus ordinal sum and discrete hyper boxes
- Cobweb Posets and KoDAG Digraphs are Representing Natural Join of Relations, their diBigraphs and the Corresponding Adjacency Matrices
- On compositions of numbers and graphs
- Note on Ward-Horadam H(x) - binomials' recurrences and related interpretations, II
- On Cobweb Admissible Sequences - The Production Theorem
- An example of algebraization of analysis and Fibonacci cobweb poset characterization
- New formulas for Stirling-like numbers and Dobinski-like formulas