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Algebra and Inverse element

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

Difference between Algebra and Inverse element

Algebra vs. Inverse element

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 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.

Similarities between Algebra and Inverse element

Algebra and Inverse element have 17 things in common (in Unionpedia): Abstract algebra, Addition, Associative property, Binary operation, Closure (mathematics), Commutative ring, Determinant, Field (mathematics), Group (mathematics), Identity element, Matrix multiplication, Monoid, Multiplication, Quasigroup, Real number, Semigroup, Set (mathematics).

Abstract algebra

In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.

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Addition

Addition (often signified by the plus symbol "+") is one of the four basic operations of arithmetic; the others are subtraction, multiplication and division.

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Associative property

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

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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.

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Closure (mathematics)

A set has closure under an operation if performance of that operation on members of the set always produces a member of the same set; in this case we also say that the set is closed under the operation.

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Commutative ring

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

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Determinant

In linear algebra, the determinant is a value that can be computed from the elements of a square matrix.

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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.

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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.

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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.

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Matrix multiplication

In mathematics, matrix multiplication or matrix product is a binary operation that produces a matrix from two matrices with entries in a field, or, more generally, in a ring or even a semiring.

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Monoid

In abstract algebra, a branch of mathematics, a monoid is an algebraic structure with a single associative binary operation and an identity element.

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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.

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Quasigroup

In mathematics, especially in abstract algebra, a quasigroup is an algebraic structure resembling a group in the sense that "division" is always possible.

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Semigroup

In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative binary operation.

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Set (mathematics)

In mathematics, a set is a collection of distinct objects, considered as an object in its own right.

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The list above answers the following questions

Algebra and Inverse element Comparison

Algebra has 189 relations, while Inverse element has 53. As they have in common 17, the Jaccard index is 7.02% = 17 / (189 + 53).

References

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