Similarities between Algebraic structure and Exponentiation
Algebraic structure and Exponentiation have 23 things in common (in Unionpedia): Abelian group, Abstract algebra, Addition, Associative property, Binary operation, Commutative property, Direct sum of modules, Field (mathematics), Function (mathematics), Group (mathematics), Identity element, Infinite set, Inverse element, Magma (algebra), Mathematical structure, Mathematics, Monoid, Multiplication, Operation (mathematics), Ring (mathematics), Set (mathematics), Set theory, Vector space.
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 Algebraic structure · Abelian group and Exponentiation ·
Abstract algebra
In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.
Abstract algebra and Algebraic structure · Abstract algebra and Exponentiation ·
Addition
Addition (often signified by the plus symbol "+") is one of the four basic operations of arithmetic; the others are subtraction, multiplication and division.
Addition and Algebraic structure · Addition and Exponentiation ·
Associative property
In mathematics, the associative property is a property of some binary operations.
Algebraic structure and Associative property · Associative property and Exponentiation ·
Binary operation
In mathematics, a binary operation on a set is a calculation that combines two elements of the set (called operands) to produce another element of the set.
Algebraic structure and Binary operation · Binary operation and Exponentiation ·
Commutative property
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.
Algebraic structure and Commutative property · Commutative property and Exponentiation ·
Direct sum of modules
In abstract algebra, the direct sum is a construction which combines several modules into a new, larger module.
Algebraic structure and Direct sum of modules · Direct sum of modules and Exponentiation ·
Field (mathematics)
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.
Algebraic structure and Field (mathematics) · Exponentiation and Field (mathematics) ·
Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
Algebraic structure and Function (mathematics) · Exponentiation and Function (mathematics) ·
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.
Algebraic structure and Group (mathematics) · Exponentiation and Group (mathematics) ·
Identity element
In mathematics, an identity element or neutral element is a special type of element of a set with respect to a binary operation on that set, which leaves other elements unchanged when combined with them.
Algebraic structure and Identity element · Exponentiation and Identity element ·
Infinite set
In set theory, an infinite set is a set that is not a finite set.
Algebraic structure and Infinite set · Exponentiation and Infinite set ·
Inverse element
In abstract algebra, the idea of an inverse element generalises concepts of a negation (sign reversal) in relation to addition, and a reciprocal in relation to multiplication.
Algebraic structure and Inverse element · Exponentiation and Inverse element ·
Magma (algebra)
In abstract algebra, a magma (or groupoid; not to be confused with groupoids in category theory) is a basic kind of algebraic structure.
Algebraic structure and Magma (algebra) · Exponentiation and Magma (algebra) ·
Mathematical structure
In mathematics, a structure on a set is an additional mathematical object that, in some manner, attaches (or relates) to that set to endow it with some additional meaning or significance.
Algebraic structure and Mathematical structure · Exponentiation and Mathematical structure ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Algebraic structure and Mathematics · Exponentiation and Mathematics ·
Monoid
In abstract algebra, a branch of mathematics, a monoid is an algebraic structure with a single associative binary operation and an identity element.
Algebraic structure and Monoid · Exponentiation and Monoid ·
Multiplication
Multiplication (often denoted by the cross symbol "×", by a point "⋅", by juxtaposition, or, on computers, by an asterisk "∗") is one of the four elementary mathematical operations of arithmetic; with the others being addition, subtraction and division.
Algebraic structure and Multiplication · Exponentiation and Multiplication ·
Operation (mathematics)
In mathematics, an operation is a calculation from zero or more input values (called operands) to an output value.
Algebraic structure and Operation (mathematics) · Exponentiation and Operation (mathematics) ·
Ring (mathematics)
In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.
Algebraic structure and Ring (mathematics) · Exponentiation and Ring (mathematics) ·
Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
Algebraic structure and Set (mathematics) · Exponentiation and Set (mathematics) ·
Set theory
Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.
Algebraic structure and Set theory · Exponentiation and Set theory ·
Vector space
A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.
Algebraic structure and Vector space · Exponentiation and Vector space ·
The list above answers the following questions
- What Algebraic structure and Exponentiation have in common
- What are the similarities between Algebraic structure and Exponentiation
Algebraic structure and Exponentiation Comparison
Algebraic structure has 144 relations, while Exponentiation has 266. As they have in common 23, the Jaccard index is 5.61% = 23 / (144 + 266).
References
This article shows the relationship between Algebraic structure and Exponentiation. To access each article from which the information was extracted, please visit: