Kleene Stars in Shuffle Algebras

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Video in TIB AV-Portal: Kleene Stars in Shuffle Algebras

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Kleene Stars in Shuffle Algebras
Subtitle
A (tangled) tale of various (bi-)algebras
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CC Attribution 3.0 Unported:
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2021
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English

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Abstract
We present some bialgebras and their monoid of characters. We entend, to the case of some rings, the well-known theorem (in the case when the scalars form a field) about linear independence of characters. Examples of algebraic independence of subfamilies and identites derived from their groups (or monoids) of characters are *provided. In this framework, we detail the study of one-parameter groups of characters.
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Commutative property Group action Latin square Price index Water vapor Dimensional analysis Lagrange-Methode Connected space Vector space Factorization Structural load Propositional formula Infinity Product (business) 10 (number) Category of being Hadamard matrix Ring (mathematics) Series (mathematics) Order (biology) Helmholtz decomposition Mathematical singularity Arrow of time Summierbarkeit Functional (mathematics) Recursion Directed graph Spacetime Beat (acoustics) Student's t-test Event horizon Product (business) Finite element method Term (mathematics) Boundary value problem Modulform Divisor Lie group Associative property Maß <Mathematik> Alpha (investment) Compact space Standard deviation Physical law Commutator Basis <Mathematik> Line (geometry) Power (physics) Function (mathematics) Network topology Spherical cap Set theory Linear independence Family Convolution Beta function Multiplication sign Mathematical singularity 1 (number) Sheaf (mathematics) Uniform convergence Icosahedron Mereology Grothendieck topology Spherical cap Physicist Series (mathematics) Körper <Algebra> Category of being Algebra Position operator Area Logical constant Polynomial Renormalization Mass flow rate Associative algebra Special unitary group Price index Term (mathematics) Time domain 19 (number) Substitute good Proof theory Well-formed formula Convex hull Right angle Resultant Pole (complex analysis) Combinatorics Polynomial Neighbourhood (graph theory) Statistics Functional (mathematics) Clique-width Divisor Observational study Blind spot (vehicle) Algebraic structure Theory 2 (number) Power (physics) Time domain Algebraische Kombinatorik Linear independence Formal power series Network topology IRIS-T Well-formed formula Operator (mathematics) Electric field Hydraulic jump Linear map Condition number Shift operator Expression Division (mathematics) Evolute Numerical analysis Plane (geometry) Algebra Scalar field Morphismus Lie group Factory (trading post) Object (grammar) Diagram Körper <Algebra> Extension (kinesiology)
Logical constant Commutative property Convolution Standard deviation Group action Injektivität State of matter Confidence interval Multiplication sign Water vapor Prime number Independence (probability theory) Abelsche Gruppe Duality (mathematics) Roundness (object) Algebraic closure Diagram Monster group Algebra Multiplication Physical system Polynomial Logical constant Associative algebra Propositional formula Inverse element Term (mathematics) Surface of revolution Element (mathematics) Product (business) Fraction (mathematics) Ring (mathematics) Tower Series (mathematics) Order (biology) Theorem Identical particles Bounded variation Associative property Polynomial Statistics Module (mathematics) Link (knot theory) Diagonal Drop (liquid) Surgery Product (business) 2 (number) Power (physics) Time domain Causality Root Term (mathematics) Well-formed formula Energy level Modulform Associative property Maß <Mathematik> Curve fitting Hydraulic jump Linear map Alpha (investment) Condition number Time zone Standard deviation Multiplication INTEGRAL Quantum state Polygon Horizon Exponential function Line (geometry) Group action Monoid Existence Plane (geometry) Positional notation Hausdorff space Voting Algebra Basis <Mathematik> Morphismus Combinatory logic Spherical cap Universe (mathematics) Vertical direction Partial derivative Faktorenanalyse Diagonal Game theory Coefficient Linear independence Limit of a function
Commutative property Group action Weight Water vapor Independence (probability theory) Plane (geometry) Isomorphieklasse Algebraic closure Category of being Factorization Proof theory Potenz <Mathematik> Logical constant Polynomial Observational study Differential (mechanical device) Correspondence (mathematics) Propositional formula Parameter (computer programming) Staff (military) Perturbation theory Term (mathematics) Product (business) Derivation (linguistics) Category of being Fraction (mathematics) Well-formed formula Series (mathematics) Time evolution Chain Configuration space Nichtlineares Gleichungssystem Identical particles Pole (complex analysis) Associative property Combinatorics Link (knot theory) Parametrische Erregung Algebraic structure Element (mathematics) Product (business) Power (physics) Well-formed formula Antiderivative Hydraulic jump Linear map Rule of inference Addition Time zone Standard deviation Slide rule Projective plane Exponential function Group action Limit (category theory) Perspective (visual) Plane (geometry) Hausdorff space Positional notation Algebra Function (mathematics) Spherical cap Partial derivative Set theory Musical ensemble Linear independence
Commutative property Group action Presentation of a group State of matter Multiplication sign Direction (geometry) Sheaf (mathematics) 1 (number) Plane (geometry) Matrix (mathematics) Series (mathematics) Category of being Algebra Factorization Physical system Observational study Propositional formula Physicalism Parameter (computer programming) Product (business) Commutative algebra Tensor Category of being Time evolution Duality (mathematics) Nichtlineares Gleichungssystem Identical particles Associative property Combinatorics Divisor Observational study Diagonal Product (business) Element (mathematics) Morphismus Causality Well-formed formula Operator (mathematics) Modulform Associative property Hydraulic jump Linear map Condition number Slide rule Projective plane Expression Commutator Group action Perspective (visual) Plane (geometry) Formal power series Positional notation Film editing Algebra Factory (trading post) Spherical cap Hydraulic motor Linear independence Local ring
Shooting method Algebra Time evolution Spherical cap Physics Nichtlineares Gleichungssystem Musical ensemble Combinatorics
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