On incidence algebras description of cobweb posets

Abstract

The explicite formulas for Mobius function and some other important elements of the incidence algebra of an arbitrary cobweb poset are delivered. For that to do one uses Kwasniewski's construction of his cobweb posets . The digraph representation of these cobweb posets constitutes a newly discovered class of orderable DAG's named here down KoDAGs with a kind of universality now being investigated. Namely cobweb posets' and thus KoDAGs's defining di-bicliques are links of any complete relations' chains.

9 pages

References in corpus (6)

• Cobweb posets as noncommutative prefabs
• On cobweb posets and their combinatorially admissible sequences
• Cobweb posets - Recent Results
• First Observations on Prefab Posets Whitney Numbers
• On Characteristic Polynomials of the Family of Cobweb Posets
• Characterization of Cobweb Posets as KoDAGs

Cited by in corpus (8)

• Cobweb posets - Recent Results
• On cobweb posets most relevant codings
• On multi F-nomial coefficients and Inversion formula for F-nomial coefficients
• Reduced Incidence algebras description of cobweb posets and KoDAGs
• Graded posets inverse zeta matrix formula
• Natural join construction of graded posets versus ordinal sum and discrete hyper boxes
• On inversion formulas and Fibonomial coefficients
• On natural join of posets properties and first applications