In order theory, a field of mathematics, an incidence algebra is an associative algebra, defined for every locally finite partially ordered set and commutative...

partially ordered set (poset) is assigned an incidence algebra. One distinguished member of this algebra is that poset's "Möbius function". The classical...

welfare Incidence algebra, associative algebra used in combinatorics, a branch of mathematics Incidence geometry, the study of relations of incidence between...

with unity. Category algebras generalize the notions of group algebras and incidence algebras, just as categories generalize the notions of groups and partially...

Hopcroft's problem of finding point–line incidences Incidence matrix Incidence algebra Incidence structure Incidence geometry Levi graph Hilbert's axioms...

mathematics, an algebra over a field (often simply called an algebra) is a vector space equipped with a bilinear product. Thus, an algebra is an algebraic structure...

linearly. The group algebra generalizes to the monoid ring and thence to the category algebra, of which another example is the incidence algebra. If a group has...

Hecke algebra of a locally compact group Heyting algebra Hopf algebra Hurwitz algebra Hypercomplex algebra Incidence algebra Iwahori–Hecke algebra Jordan...

[citation needed] The Weyl algebra An Azumaya algebra The Clifford algebras, which are useful in geometry and physics. Incidence algebras of locally finite partially...

theory Graph algebra Group ring Incidence algebra Quiver diagram Semi-invariant of a quiver Toric variety Derived noncommutative algebraic geometry - Quivers...

applying to the set of the natural numbers ordered by divisibility: see incidence algebra. The classic version states that if g and f are arithmetic functions...

Graph algebra Incidence algebra Hecke algebra of a locally compact group Path algebra Groupoid algebra Stereotype algebra Stereotype group algebra Hopf...

order Weak order of permutations Bruhat order on a Coxeter group Incidence algebra Monotonic Pointwise order of functions Galois connection Order embedding...

arguments and zero otherwise, and which forms the identity element of an incidence algebra Modular discriminant (Δ), a complex function in Weierstrass's elliptic...

The Kronecker delta forms the multiplicative identity element of an incidence algebra. In probability theory and statistics, the Kronecker delta and Dirac...

function Witten zeta function of a Lie group Zeta function of an incidence algebra, a function that maps every interval of a poset to the constant value...

Theory. Causal Sets Cyclic order Hierarchy Incidence algebra Roller, Martin A. (1998), Poc sets, median algebras and group actions. An extended study of...

functionPages displaying wikidata descriptions as a fallback Incidence algebra – Associative algebra used in combinatorics, a branch of mathematics Lattice –...

The dual notion is called filter. Incidence algebra. The incidence algebra of a poset is the associative algebra of all scalar-valued functions on intervals...

the integer μ(0,1), where μ is the Möbius function in that poset's incidence algebra. This can be further generalized by defining a rational valued Euler...

o(n^{1/2+\epsilon })} for all ϵ > 0 {\displaystyle \epsilon >0} (see incidence algebra). The Riemann hypothesis is equivalent to many other conjectures about...

mathematics, an incidence matrix is a logical matrix that shows the relationship between two classes of objects, usually called an incidence relation. If...

formula Parity, even and odd permutations Combinatorial Nullstellensatz Incidence algebra Greedy algorithm Divide and conquer algorithm Akra–Bazzi method Dynamic...

numbers. Therefore, (2) is seen as the Möbius inversion formula for the incidence algebra of the partially ordered set of all subsets of A. For a generalization...

Projective plane Incidence (mathematics) Fundamental theorem of projective geometry Projective line over a ring Grassmann–Cayley algebra Ramanan 1997, p...

Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems...

Given a locally finite poset P we can define its incidence algebra. Elements of the incidence algebra are functions ƒ that assign to each interval [x, y]...

geometric algebra (also known as a Clifford algebra) is an algebra that can represent and manipulate geometrical objects such as vectors. Geometric algebra is...

In mathematics, incidence geometry is the study of incidence structures. A geometric structure such as the Euclidean plane is a complicated object that...

underlying abstract polytope, a purely algebraic partially ordered set which captures the pattern of connections (or incidences) between the various structural...