Similarities between Algebra and Category theory
Algebra and Category theory have 17 things in common (in Unionpedia): Algebraic geometry, Algebraic topology, Associative property, Binary operation, Finitary relation, Function (mathematics), Group (mathematics), Group theory, Homological algebra, Identity element, Linear algebra, Natural number, Ring theory, Set theory, Topological space, Universal algebra, Vector space.
Algebraic geometry
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.
Algebra and Algebraic geometry · Algebraic geometry and Category theory ·
Algebraic topology
Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces.
Algebra and Algebraic topology · Algebraic topology and Category theory ·
Associative property
In mathematics, the associative property is a property of some binary operations.
Algebra and Associative property · Associative property and Category theory ·
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.
Algebra and Binary operation · Binary operation and Category theory ·
Finitary relation
In mathematics, a finitary relation has a finite number of "places".
Algebra and Finitary relation · Category theory and Finitary relation ·
Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
Algebra and Function (mathematics) · Category theory 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.
Algebra and Group (mathematics) · Category theory and Group (mathematics) ·
Group theory
In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.
Algebra and Group theory · Category theory and Group theory ·
Homological algebra
Homological algebra is the branch of mathematics that studies homology in a general algebraic setting.
Algebra and Homological algebra · Category theory and Homological algebra ·
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.
Algebra and Identity element · Category theory and Identity element ·
Linear algebra
Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.
Algebra and Linear algebra · Category theory and Linear algebra ·
Natural number
In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").
Algebra and Natural number · Category theory and Natural number ·
Ring theory
In algebra, ring theory is the study of rings—algebraic structures in which addition and multiplication are defined and have similar properties to those operations defined for the integers.
Algebra and Ring theory · Category theory and Ring theory ·
Set theory
Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.
Algebra and Set theory · Category theory and Set theory ·
Topological space
In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.
Algebra and Topological space · Category theory and Topological space ·
Universal algebra
Universal algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures themselves, not examples ("models") of algebraic structures.
Algebra and Universal algebra · Category theory and Universal algebra ·
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.
Algebra and Vector space · Category theory and Vector space ·
The list above answers the following questions
- What Algebra and Category theory have in common
- What are the similarities between Algebra and Category theory
Algebra and Category theory Comparison
Algebra has 189 relations, while Category theory has 106. As they have in common 17, the Jaccard index is 5.76% = 17 / (189 + 106).
References
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