Faster access than browser!Similarities between Cyclic group and Field (mathematics)
Cyclic group and Field (mathematics) have 31 things in common (in Unionpedia): Abelian extension, Abelian group, Additive group, Associative property, Automorphism, Commutative property, Commutative ring, Complex number, Composite number, Field extension, Finite field, Frobenius endomorphism, Galois group, Group (mathematics), Ideal (ring theory), Integer, Isomorphism, Modular arithmetic, Number theory, P-adic number, Prentice Hall, Prime ideal, Prime number, Rational number, Ring (mathematics), Ring homomorphism, Root of unity, Set (mathematics), Subgroup, Unit (ring theory), ..., Zero of a function. Expand index (1 more) »
Abelian extension
In abstract algebra, an abelian extension is a Galois extension whose Galois group is abelian.
Abelian extension and Cyclic group · Abelian extension and Field (mathematics) ·
Abelian group
In abstract algebra, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written.
Abelian group and Cyclic group · Abelian group and Field (mathematics) ·
Additive group
An additive group is a group of which the group operation is to be thought of as addition in some sense.
Additive group and Cyclic group · Additive group and Field (mathematics) ·
Associative property
In mathematics, the associative property is a property of some binary operations.
Associative property and Cyclic group · Associative property and Field (mathematics) ·
Automorphism
In mathematics, an automorphism is an isomorphism from a mathematical object to itself.
Automorphism and Cyclic group · Automorphism and Field (mathematics) ·
Commutative property
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.
Commutative property and Cyclic group · Commutative property and Field (mathematics) ·
Commutative ring
In ring theory, a branch of abstract algebra, a commutative ring is a ring in which the multiplication operation is commutative.
Commutative ring and Cyclic group · Commutative ring and Field (mathematics) ·
Complex number
A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.
Complex number and Cyclic group · Complex number and Field (mathematics) ·
Composite number
A composite number is a positive integer that can be formed by multiplying together two smaller positive integers.
Composite number and Cyclic group · Composite number and Field (mathematics) ·
Field extension
In mathematics, and in particular, algebra, a field E is an extension field of a field F if E contains F and the operations of F are those of E restricted to F. Equivalently, F is a subfield of E. For example, under the usual notions of addition and multiplication, the complex numbers are an extension field of the real numbers; the real numbers are a subfield of the complex numbers.
Cyclic group and Field extension · Field (mathematics) and Field extension ·
Finite field
In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements.
Cyclic group and Finite field · Field (mathematics) and Finite field ·
Frobenius endomorphism
In commutative algebra and field theory, the Frobenius endomorphism (after Ferdinand Georg Frobenius) is a special endomorphism of commutative rings with prime characteristic, an important class which includes finite fields.
Cyclic group and Frobenius endomorphism · Field (mathematics) and Frobenius endomorphism ·
Galois group
In mathematics, more specifically in the area of abstract algebra known as Galois theory, the Galois group of a certain type of field extension is a specific group associated with the field extension.
Cyclic group and Galois group · Field (mathematics) and Galois group ·
Group (mathematics)
In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.
Cyclic group and Group (mathematics) · Field (mathematics) and Group (mathematics) ·
Ideal (ring theory)
In ring theory, a branch of abstract algebra, an ideal is a special subset of a ring.
Cyclic group and Ideal (ring theory) · Field (mathematics) and Ideal (ring theory) ·
Integer
An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").
Cyclic group and Integer · Field (mathematics) and Integer ·
Isomorphism
In mathematics, an isomorphism (from the Ancient Greek: ἴσος isos "equal", and μορφή morphe "form" or "shape") is a homomorphism or morphism (i.e. a mathematical mapping) that can be reversed by an inverse morphism.
Cyclic group and Isomorphism · Field (mathematics) and Isomorphism ·
Modular arithmetic
In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus (plural moduli).
Cyclic group and Modular arithmetic · Field (mathematics) and Modular arithmetic ·
Number theory
Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.
Cyclic group and Number theory · Field (mathematics) and Number theory ·
P-adic number
In mathematics, the -adic number system for any prime number extends the ordinary arithmetic of the rational numbers in a different way from the extension of the rational number system to the real and complex number systems.
Cyclic group and P-adic number · Field (mathematics) and P-adic number ·
Prentice Hall
Prentice Hall is a major educational publisher owned by Pearson plc.
Cyclic group and Prentice Hall · Field (mathematics) and Prentice Hall ·
Prime ideal
In algebra, a prime ideal is a subset of a ring that shares many important properties of a prime number in the ring of integers.
Cyclic group and Prime ideal · Field (mathematics) and Prime ideal ·
Prime number
A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
Cyclic group and Prime number · Field (mathematics) and Prime number ·
Rational number
In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.
Cyclic group and Rational number · Field (mathematics) and Rational number ·
Ring (mathematics)
In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.
Cyclic group and Ring (mathematics) · Field (mathematics) and Ring (mathematics) ·
Ring homomorphism
In ring theory or abstract algebra, a ring homomorphism is a function between two rings which respects the structure.
Cyclic group and Ring homomorphism · Field (mathematics) and Ring homomorphism ·
Root of unity
In mathematics, a root of unity, occasionally called a de Moivre number, is any complex number that gives 1 when raised to some positive integer power.
Cyclic group and Root of unity · Field (mathematics) and Root of unity ·
Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
Cyclic group and Set (mathematics) · Field (mathematics) and Set (mathematics) ·
Subgroup
In group theory, a branch of mathematics, given a group G under a binary operation ∗, a subset H of G is called a subgroup of G if H also forms a group under the operation ∗.
Cyclic group and Subgroup · Field (mathematics) and Subgroup ·
Unit (ring theory)
In mathematics, an invertible element or a unit in a (unital) ring is any element that has an inverse element in the multiplicative monoid of, i.e. an element such that The set of units of any ring is closed under multiplication (the product of two units is again a unit), and forms a group for this operation.
Cyclic group and Unit (ring theory) · Field (mathematics) and Unit (ring theory) ·
Zero of a function
In mathematics, a zero, also sometimes called a root, of a real-, complex- or generally vector-valued function f is a member x of the domain of f such that f(x) vanishes at x; that is, x is a solution of the equation f(x).
Cyclic group and Zero of a function · Field (mathematics) and Zero of a function ·
The list above answers the following questions
- What Cyclic group and Field (mathematics) have in common
- What are the similarities between Cyclic group and Field (mathematics)
Cyclic group and Field (mathematics) Comparison
Cyclic group has 106 relations, while Field (mathematics) has 290. As they have in common 31, the Jaccard index is 7.83% = 31 / (106 + 290).
References
This article shows the relationship between Cyclic group and Field (mathematics). To access each article from which the information was extracted, please visit:
