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2 crossed module 2 representation A infinity algebra A infinity module A infinity ring A monoid A ring Abelian differential graded lie algebra Abelian lie algebra Absorption monoid Adic noetherian ring Adjusted weil algebra Affine algebra Affinoid algebra Albert algebra Algebra contents Algebra for an endomorphism Algebra of functions Algebra over a lawvere theory Almost module Alternating representation An introduction to homological algebra Analytic completion of a ring Analytic ring Anti yetter drinfeld module Apartness ring Aqft and operator algebra contents Archimedean ordered artinian local ring Archimedean ordered local ring Archimedean ordered reduced local ring Arithmetic d module Artin schelter regular algebra Artinian local ring Associative unital algebra Asymptotic representation theory Augmented a infinity algebra Augmented algebra Automorphism group of a lie algebra Automorphism infinity lie algebra Automorphism lie group Automorphism of a vertex operator algebra B zout monoid B zout ring Banach module Banach ring Basis of a free module Beck module Beilinson drinfeld algebra Beta ring Bimonoid Birkhoff's subdirect representation theorem Black ring Boolean algebra object Borcherds algebra Bordism ring Brace algebra Braid group representations references Braid representation Brave new algebra Bundle gerbe module Bv algebra C algebra C field gauge algebra references C ring C star algebra Calabi yau algebra Cancellative element of a commutative ring Cancellative midpoint algebra Cancellative monoid Cartan dirac structure on a lie group Cartier module Character of a linear representation Chiral ring Church monoid Classical lie group Clifford bianchi group Clifford bundle Clifford cheung Clifford group Clifford j earle Clifford johnson Clifford klein space form Clifford module bundle Clifford ring Clifford taubes Clifford truesdell Closed midpoint algebra Closure algebra Co heyting algebra Coherent d module Coherent module Coisson algebra Combinatorial hopf algebra Combinatorial representation theory Commutative c star algebra Commutative hopf algebroid Commutative monoid Commutative von neumann algebra Comodule algebra Comonoid Compact lie algebra Complete augmented algebra Complete hopf algebra Completion of a module Complex lie algebra Computational homological algebra Condensed e infinity ring Condensed ring Connection for a differential graded algebra Continuous algebra Continuous homomorphisms of lie groups are smooth Continuous trace algebra Convolution algebra Core Corepresentation Cosimplicial algebra Counterexamples in algebra Courant dorfman algebra Courant l infinity algebra Crossed g algebra Crossed module Crossed product algebra Crossed product c algebra Cuntz algebra Current algebra Curved a infinity algebra Curved dg algebra Curved l infinity algebra D algebra De morgan heyting algebra Decimal numeral representation of the natural numbers Dedekind ring Definition of crossed module morphisms Demazure lectures on p divisible groups i 9 the frobenius morphism Dendriform algebra Derivation lie 2 algebra Derivation lie algebra Derived module Descent algebra Dg module Dickey lie bracket Dieudonn ring Dieudonne module Differential 2 crossed module Differential crossed module Differential graded c ring Differential graded commutative algebra Differential graded hopf algebra Differential graded lie algebra Differential graded ring Differential module Differential ring Dirac operator on quantum group Divided power algebra Divisible module Down up algebra Drinfeld kohno lie algebra Duality between algebra and geometry Dualizable module Dyadic rational algebra Dyadic rational module E infinity algebra E infinity ring Efc algebra Effect algebra Effect algebra of predicates El algebra Embedding tensors and tensor hierarchy in super lie theory section En algebra Endomorphism dg lie algebra Endomorphism lie algebra Endomorphism monoid object Entwined module Enveloping algebra Enveloping von neumann algebra Equivariant dgc algebra Equivariant higher algebra contents Equivariant hopf degree theorem Euclidean ring Exact sequence of hopf algebras Exceptional lie group Exponential ring Extended c algebra Extended representation Extended von neumann algebra Exterior ring F star algebra Face algebra Factorization algebra of observables Ferdinand frobenius Fi representation Filtered lie algebra Finite dimensional representation of the poincar group Finitely generated module Finitely presented module Formal dg algebra Formally real algebra Fr chet lie group Fredholm module Free commutative monoid Free crossed module Free hopf algebra Free module Frobenius morphism Frobenius perron dimension Frobenius pseudomonoid Full field algebra Fundamental theorem of linear algebra Fusion ring G commutative monoid Galois deformation ring Gcd monoid Gcd ring General linear lie algebra Generalized ring Generic representation theory Geometric representation theory Germ determined c infinity ring Ginzburg dg algebra Graded bimonoid Graded c algebra Graded comonoid Graded monoid Grothendieck ring Grothendieck ring of varieties Ground ring Group algebra H star algebra Haag kastler vacuum representation Habiro ring Hamiltonian dynamics on lie groups Harish chandra module Heinz hopf Heisenberg lie algebra Heisenberg lie n algebra Heyting algebra object Higher algebra Higher algebra contents Higher kac moody algebra Higher linear algebra Higher linear algebra contents Hilbert module Hilbert q module Hilbert w module Holonomic d module Holonomy lie algebra Homogeneous c star algebra Homological algebra contents Homological algebra in the finite element method Homological and higher algebra table Hopf action Hopf algebroid Hopf algebroid over a commutative base Hopf c star algebra Hopf construction Hopf degree theorem Hopf e algebra Hopf envelope Hopf galois extension Hopf invariant Hopf invariant one Hopf link Hopf link svg Hopf module Hopf monoid Hopf wess zumino term Hopfian group Hopfion Hopfish algebra Hyper envelope of a lie algebra Hypermonoid I 10 frobenius morphism and symmetric products Ideal in a monoid Idempotent monoid Idempotent monoid object Implicative algebra Induced representation of the trivial representation Inequality ring Infinite decimal representation of a unit interval Infinity algebra over an Infinity lie group Infinity lie theory Infinity lie theory contents Infinity permutation representation Infinity representation Inner derivation lie 2 algebra Integral monoid Interacting field algebra of observables Internal crossed module Involutive hopf algebra Isotope J nsson tarski algebra Jacobian algebra Jordan lie banach algebra Joyal delta ring Kac algebra Kleene's second algebra Kleene star algebra L complete module L infinity algebra L m c c algebra Lambda algebra Lattice ordered ring Lazard ring Leibniz algebra Lie 2 algebra Lie 2 group Lie 3 algebra Lie 3 group Lie algebra contraction Lie algebra homology Lie algebra object Lie algebra weight system Lie bialgebra Lie bialgebroid Lie coalgebra Lie differentiation Lie ideal Lie infinity algebroid Lie infinity algebroid representation Lie integration Lie poisson structure Lie rinehart pair Lie triple system Lindenbaum tarski algebra Line lie n algebra Linear algebra contents Linear topological ring Linearly compact module Local algebra Local ring setoid Localisation of a commutative ring away from an element Localizable boolean algebra Locally free module Locally modeled monoid Lorentz lie algebra M commutative monoid Magari algebra Malcev lie algebra Martindale ring of quotients Matrix algebra Matrix hopf algebra Matrix lie algebra Matrix lie group Metaplectic representation Methods of homological algebra Metric lie algebra Metric lie representation Midpoint algebra Milnor algebra Min plus algebra Minimal dg module Model structure on dg lie algebras Model structure on simplicial lie algebras Moderne algebra Monadic algebra Monoid theory contents Monster vertex operator algebra Multiplier algebra N graded module N lie algebra Nearby homomorphisms from compact lie groups are conjugate Necklace lie algebra Nichols algebra Nilpotent l infinity algebra Nilpotent module Non associative geometric algebra Nonabelian homological algebra Noncommutative algebra Nonunital algebra Nonunital ek algebra Nonunital ring Normed division algebra Normed ring Operator algebra Operator theory in the c algebra framework Ordered artinian local ring Ordered local ring Ordered reduced local ring Ordered ring Orthogonal lie algebra Overlap algebra P local module P ring Paraunital algebra Partial combinatory algebra Pentagonal algebra of open string field theory Perfect dg module Perfect module Pi algebra Planar algebra Poincar duality algebra Poincar hopf theorem Poincar lie algebra Poincar weyl algebra Pointed module Poisson bracket lie n algebra Poisson lie 2 algebra Poisson lie 2 group Poisson lie t duality Poisson n algebra Poisson vertex algebra Polynomial poisson algebra Pontrjagin ring Positive energy representation Possibly empty ring Post lie algebra Power associative algebra Pre calabi yau algebra Pre lie algebra Prefield ring Prelattice ordered commutative monoid Preprojective algebra Presentable module Prime power local ring Principal ideal monoid Principal ideal of a monoid Pro c star algebra Pro ring Process algebra Proxi banach ring Pseudo ordered ring Pseudocompact module Pseudocompact ring Pseudomonoid Pseudovector representation Pythagorean ring Quadratic jordan algebra Quantized function algebra Quantum algebra Quantum group fourier transform Quantum l algebra Quantum nilpotent algebra Quasi frobenius algebra Quasi hopf algebra Quasitriangular hopf 2 algebra Quasitriangulated quasi hopf algebra Quiver algebra Quiver representation Quotient module Radical ring Rank of a lie group Rational algebra Rational cherednik algebra Rational vertex operator algebra Real irreducible spin representations table Reciprocal algebra Reduced local ring Reducible representation Reflection equation algebra Relation between compact lie groups and reductive algebraic groups Relation between l infinity algebras and dg lie algebras Relational beta module Representation of a c star algebra Representation sphere Representation stability Representation theory contents Representation theory of the general linear group Representation theory of the special unitary group Residually discrete local ring Restricted lie algebra Ring object Ring of witt vectors Ring over a ring Ring setoid S module Sabinin algebra Schematic algebra

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