Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Free
Faster access than browser!
 

Algebra and Tensor algebra

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Algebra and Tensor algebra

Algebra vs. Tensor algebra

Algebra (from Arabic "al-jabr", literally meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis. In mathematics, the tensor algebra of a vector space V, denoted T(V) or T(V), is the algebra of tensors on V (of any rank) with multiplication being the tensor product.

Similarities between Algebra and Tensor algebra

Algebra and Tensor algebra have 14 things in common (in Unionpedia): Algebra over a field, Associative algebra, Associative property, Category theory, Commutative ring, Distributive property, Exterior algebra, Field (mathematics), Hopf algebra, Integer, Mathematics, Springer Science+Business Media, Symmetric algebra, Vector space.

Algebra over a field

In mathematics, an algebra over a field (often simply called an algebra) is a vector space equipped with a bilinear product.

Algebra and Algebra over a field · Algebra over a field and Tensor algebra · See more »

Associative algebra

In mathematics, an associative algebra is an algebraic structure with compatible operations of addition, multiplication (assumed to be associative), and a scalar multiplication by elements in some field.

Algebra and Associative algebra · Associative algebra and Tensor algebra · See more »

Associative property

In mathematics, the associative property is a property of some binary operations.

Algebra and Associative property · Associative property and Tensor algebra · See more »

Category theory

Category theory formalizes mathematical structure and its concepts in terms of a labeled directed graph called a category, whose nodes are called objects, and whose labelled directed edges are called arrows (or morphisms).

Algebra and Category theory · Category theory and Tensor algebra · See more »

Commutative ring

In ring theory, a branch of abstract algebra, a commutative ring is a ring in which the multiplication operation is commutative.

Algebra and Commutative ring · Commutative ring and Tensor algebra · See more »

Distributive property

In abstract algebra and formal logic, the distributive property of binary operations generalizes the distributive law from boolean algebra and elementary algebra.

Algebra and Distributive property · Distributive property and Tensor algebra · See more »

Exterior algebra

In mathematics, the exterior product or wedge product of vectors is an algebraic construction used in geometry to study areas, volumes, and their higher-dimensional analogs.

Algebra and Exterior algebra · Exterior algebra and Tensor algebra · See more »

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.

Algebra and Field (mathematics) · Field (mathematics) and Tensor algebra · See more »

Hopf algebra

In mathematics, a Hopf algebra, named after Heinz Hopf, is a structure that is simultaneously an (unital associative) algebra and a (counital coassociative) coalgebra, with these structures' compatibility making it a bialgebra, and that moreover is equipped with an antiautomorphism satisfying a certain property.

Algebra and Hopf algebra · Hopf algebra and Tensor algebra · See more »

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").

Algebra and Integer · Integer and Tensor algebra · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Algebra and Mathematics · Mathematics and Tensor algebra · See more »

Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

Algebra and Springer Science+Business Media · Springer Science+Business Media and Tensor algebra · See more »

Symmetric algebra

In mathematics, the symmetric algebra S(V) (also denoted Sym(V)) on a vector space V over a field K is the free commutative unital associative algebra over K containing V. It corresponds to polynomials with indeterminates in V, without choosing coordinates.

Algebra and Symmetric algebra · Symmetric algebra and Tensor algebra · See more »

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 · Tensor algebra and Vector space · See more »

The list above answers the following questions

Algebra and Tensor algebra Comparison

Algebra has 189 relations, while Tensor algebra has 56. As they have in common 14, the Jaccard index is 5.71% = 14 / (189 + 56).

References

This article shows the relationship between Algebra and Tensor algebra. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »