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Algebraic definition

In mathematical logic, an algebraic definition is one that can be given using only equations between terms with free variables. Inequalities and quantifiers are specifically disallowed.

Saying that a definition is algebraic is a stronger condition than saying it is elementary.

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Algebraic
Algebraic group
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Algebraic variety
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Algebraic curve
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Algebraic extension
Real algebraic geometry
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Linear algebraic group
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Abstract algebraic logic
Computer algebra
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*-algebra
Differential-algebraic system of equations
Commutative algebra
Interior algebra
MV-algebra
C*-algebra
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Computer algebra system
Correspondence (algebraic geometry)
Function field of an algebraic variety
Genetic algebra
List of algebraic geometry topics
Division algebra
Approximation in algebraic groups
Cylindric algebra
Algebraic definition
Differential algebra
Higher-dimensional algebra
History of algebra
Journal of Logical and Algebraic Methods in Programming
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Sheaf on an algebraic stack
Morphism of algebraic varieties
Algebra over a field
Jordan algebra
Algebraic semantics
Communications in Algebra
Algebraic semantics (mathematical logic)
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Boolean algebra
Differential graded algebra
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F-algebra
Algebraic number theory
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Algebraic Petri net
Hopf algebra
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Łukasiewicz–Moisil algebra
Generalized algebraic data type
Von Neumann algebra
Lisp Algebraic Manipulator
Algebraic stack
Algebraic & Geometric Topology
BCK algebra
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Chiral algebra
Non-associative algebra
General algebraic modeling system
Algebraic space
Algebra representation
Exterior algebra
Algebraic closure
Finitely generated algebra
Heyting algebra
Glossary of algebraic geometry
Algebraically closed field
Algebraic differential geometry
Kac–Moody algebra
Algebraic torus
List of abstract algebra topics
Lindenbaum–Tarski algebra
Glossary of classical algebraic geometry
List of Boolean algebra topics
Lie algebra
Vertex operator algebra
Degeneration (algebraic geometry)
De Morgan algebra
Noncommutative algebraic geometry
Dimension of an algebraic variety
Boolean algebra (structure)
Nilpotent algebra
Octonion algebra
Grassmann–Cayley algebra
Information algebra
Σ-algebra
Banach algebra
Explicit algebraic stress model
Algebraic representation
Magma (computer algebra system)
Algebraic differential equation
Homotopical algebra
Algebraic combinatorics
BF-algebra
Quotient (universal algebra)
Supercommutative algebra
Relation algebra
Affine Lie algebra
Kleene algebra
Journal of Pure and Applied Algebra
Topological algebra
Kernel (algebra)
Algebraic statistics
Tensor product of algebras
Lie algebra representation
Universal algebraic geometry
Hypersurface
Clifford algebra
Algebraic element
Polyadic algebra
Axiom (computer algebra system)
Algebraic geometry and analytic geometry
Algebraic matroid
Augmentation (algebra)
Composition algebra
Algebra tile
Term algebra
Differential algebraic geometry
Hurwitz's theorem (composition algebras)
Plane-based geometric algebra
Jónsson–Tarski algebra
List of algebraic number theory topics
Operad algebra
Homotopy associative algebra
Quaternion algebra
Quasi-algebraically closed field
Moderne Algebra
Supersymmetry algebra
Affine variety
Geometric algebra
Solvable Lie algebra
Derivation (differential algebra)
Cramer's theorem (algebraic curves)
Enveloping von Neumann algebra
Arithmetic geometry
Simultaneous algebraic reconstruction technique
Homotopy Lie algebra
Steenrod algebra
Semisimple Lie algebra
Algebra of communicating processes
Monadic Boolean algebra
Free Boolean algebra
Action algebra
Algebraic reconstruction technique
Morphism of algebraic stacks
Malcev algebra
List of commutative algebra topics
Algebraic character
Reductive group
Iwahori–Hecke algebra
Period (algebraic geometry)
Algebraic graph theory
List of complex and algebraic surfaces
Gerstenhaber algebra
Algebra & Number Theory
Restricted Lie algebra
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