In order theory, a field of mathematics, an incidence algebra is an associative algebra, defined for every locally finite partially ordered set and commutative...
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Möbius function (section Incidence algebras)
partially ordered set (poset) is assigned an incidence algebra. One distinguished member of this algebra is that poset's "Möbius function". The classical...
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welfare Incidence algebra, associative algebra used in combinatorics, a branch of mathematics Incidence geometry, the study of relations of incidence between...
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with unity. Category algebras generalize the notions of group algebras and incidence algebras, just as categories generalize the notions of groups and partially...
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Group ring (section Group algebra over a finite group)
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...
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define projective space based on linear algebra and utilizing homogeneous co-ordinates. The propositions of incidence are derived from the following basic...
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Hecke algebra of a locally compact group Heyting algebra Hopf algebra Hurwitz algebra Hypercomplex algebra Incidence algebra Iwahori–Hecke algebra Jordan...
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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...
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[citation needed] The Weyl algebra An Azumaya algebra The Clifford algebras, which are useful in geometry and physics. Incidence algebras of locally finite partially...
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Quiver (mathematics) (redirect from Path algebra)
theory Graph algebra Group ring Incidence algebra Quiver diagram Semi-invariant of a quiver Toric variety Derived noncommutative algebraic geometry - Quivers...
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Graph algebra Incidence algebra Hecke algebra of a locally compact group Path algebra Groupoid algebra Stereotype algebra Stereotype group algebra Hopf...
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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...
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List of order theory topics (section Orders in algebra)
order Weak order of permutations Bruhat order on a Coxeter group Incidence algebra Monotonic Pointwise order of functions Galois connection Order embedding...
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Order theory (section Universal algebra)
Theory. Causal Sets Cyclic order Hierarchy Incidence algebra Roller, Martin A. (1998), Poc sets, median algebras and group actions. An extended study of...
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The Kronecker delta forms the multiplicative identity element of an incidence algebra. In probability theory and statistics, the Kronecker delta and Dirac...
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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...
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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...
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tree languages and tree automata, etc. Group algebra (disambiguation) Incidence algebra Path algebra McNulty & Shallon 1983, pp. 206–231. Davey et al...
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formula Parity, even and odd permutations Combinatorial Nullstellensatz Incidence algebra Greedy algorithm Divide and conquer algorithm Akra–Bazzi method Dynamic...
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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...
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functionPages displaying wikidata descriptions as a fallback Incidence algebra – Associative algebra used in combinatorics, a branch of mathematics Lattice –...
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arguments and zero otherwise, and which forms the identity element of an incidence algebra Modular discriminant (Δ), a complex function in Weierstrass's elliptic...
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Euler characteristic (category Algebraic topology)
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...
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mathematics, an incidence matrix is a logical matrix that shows the relationship between two classes of objects, usually called an incidence relation. If...
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Inclusion–exclusion principle (section Algebraic proof)
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...
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Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems...
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In mathematics, incidence geometry is the study of incidence structures. A geometric structure such as the Euclidean plane is a complicated object that...
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Locally finite poset (category Algebra stubs)
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]...
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theory Algebraic geometry Arithmetic geometry Finite incidence structures Cryptography Coding theory Optimization Comparison of computer algebra systems...
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algebra (also known as a Clifford algebra) is an extension of elementary algebra to work with geometrical objects such as vectors. Geometric algebra is...
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