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Equality (mathematics)

In mathematics, equality is a relationship between two quantities or expressions, stating that they have the same value, or represent the same mathematical object. Equality between A and B is denoted with an equals sign as A = B, and read "A equals B". A written expression of equality is called an equation or identity depending on the context. Two…

Equations, In logic & In set theory

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Etymology

Basic properties

Equations

In logic

In set theory

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Equality (mathematics)

Nodes264
Edges263
Triples8
Avg. degree1.99
Density0.007576
Components1

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Important terminology

displaystyle equality set theory equal two logic called mathematics one identity properties relation equation given property substitution sets objects since

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
a groupinstance ofA congruence relation on an algebraic structure0.80text
ringinstance ofA congruence relation on an algebraic structure0.80text
or module is an equivalence relation that respects the operations defined on that structure.IsomorphismIn mathematicsinstance ofA congruence relation on an algebraic structure0.80text
especially in abstract algebrainstance ofA congruence relation on an algebraic structure0.80text
category theoryinstance ofA congruence relation on an algebraic structure0.80text
it is common to deal with objects that already have some internal structureinstance ofA congruence relation on an algebraic structure0.80text
the ones discussed above are defined in terms of their mapping propertiesinstance ofas there exists a linear bijection between their elements.When objects0.80text
or module is an equivalence relation that respects the operations defined on that structureinstance ofA congruence relation on an algebraic structure0.80text

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