Study of numbers that are not solutions of polynomials with rational coefficients
Algebraic structure → Ring theory Ring theory
Basic concepts
Rings
• Subrings
• Ideal
• Quotient ring
• Fractional ideal
• Total ring of fractions
• Product of rings
• Free product of associative algebras
• Tensor product of algebras
Ring homomorphisms
• Kernel
• Inner automorphism
• Frobenius endomorphism
Algebraic structures
• Module
• Associative algebra
• Graded ring
• Involutive ring
• Category of rings
• Initial ring
• Terminal ring
Related structures
• Field
• Finite field
• Non-associative ring
• Lie ring
• Jordan ring
• Semiring
• Semifield
Commutative algebra
Commutative rings
• Integral domain
• Integrally closed domain
• GCD domain
• Unique factorization domain
• Principal ideal domain
• Euclidean domain
• Field
• Finite field
• Composition ring
• Polynomial ring
• Formal power series ring
Algebraic number theory
• Algebraic number field
• Ring of integers
• Algebraic independence
• Transcendental number theory
• Transcendence degree
p-adic number theory and decimals
• Direct limit/Inverse limit
• Zero ring
• Integers modulo pn
• Prüfer p-ring
• Base-p circle ring
• Base-p integers
• p-adic rationals
• Base-p real numbers
• p-adic integers
• p-adic numbers
• p-adic solenoid
Algebraic geometry
• Affine variety
Noncommutative algebra
Noncommutative rings
• Division ring
• Semiprimitive ring
• Simple ring
• Commutator
Noncommutative algebraic geometry
Free algebra
Clifford algebra
• Geometric algebra
Operator algebra
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Transcendental number theory is a branch of number theory that investigates transcendental numbers (numbers that are not solutions of any polynomial equation with rational coefficients), in both qualitative and quantitative ways.
and 20 Related for: Transcendental number theory information
Transcendentalnumbertheory is a branch of numbertheory that investigates transcendental numbers (numbers that are not solutions of any polynomial equation...
In mathematics, a transcendentalnumber is a real or complex number that is not algebraic – that is, not the root of a non-zero polynomial of finite degree...
In mathematics, a transcendental function is an analytic function that does not satisfy a polynomial equation, in contrast to an algebraic function. In...
Teichmüller theoryTheory of equations Theory of statistics Topos theoryTranscendentalnumbertheory Twistor theory Type theory Universal theory Wheel theory...
Also, global function fields are transcendental extensions of degree one of a finite field, and play in numbertheory in positive characteristic a role...
Precisely, these are transcendental numbers that can be more closely approximated by rational numbers than any algebraic irrational number can be. In 1844...
obtained by a similar method. Diophantine approximations and transcendentalnumbertheory are very close areas that share many theorems and methods. Diophantine...
interest in transcendentalnumbertheory: if a number can be better approximated than any algebraic number, then it is a transcendentalnumber. It is by...
is not a number, but the source of number. He also believed the number two is the embodiment of the origin of otherness. His numbertheory was recovered...
In mathematics, specifically the field of transcendentalnumbertheory, the four exponentials conjecture is a conjecture which, given the right conditions...
year numbering, the year 1 BC is numbered 0, the year 2 BC is numbered −1, and so forth. Grammatical number Mathematical constant Numbertheory Peano...
mathematics, auxiliary functions are an important construction in transcendentalnumbertheory. They are functions that appear in most proofs in this area of...
Algebraic numbertheory is a branch of numbertheory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations...
The transcendentals (Latin: transcendentalia, from transcendere "to exceed") are "properties of being", nowadays commonly considered to be truth, unity...
or transcendental in Wiktionary, the free dictionary. Transcendence, transcendent, or transcendental may refer to: Transcendentalnumber, a number that...
In mathematics, specifically transcendentalnumbertheory, the six exponentials theorem is a result that, given the right conditions on the exponents,...
Australia) was a German mathematician who worked in the fields of transcendentalnumbertheory, diophantine approximation, p-adic analysis, and the geometry...
Science at the University of Basel. He is known for his work in transcendentalnumbertheory, Diophantine approximation, and Diophantine geometry. With Joseph...