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Ideal (ring theory)

In mathematics, and more specifically in ring theory, an ideal of a ring is a special subset of its elements. Ideals generalize certain subsets of the integers, such as the even numbers or the multiples of 3. Addition and subtraction of even numbers preserves evenness, and multiplying an even number by any integer (even or odd) results in an even number…

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Definitions

Examples and properties

Types of ideals

Ideal operations

Examples of ideal operations

Radical of a ring

Extension and contraction of an ideal

Generalizations

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Ideal (ring theory)

Nodes135
Edges134
Triples1
Avg. degree1.99
Density0.014815
Components1

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Important terminology

ideal displaystyle ring ideals left mathfrak two-sided right called prime commutative also maximal generated set rings integers mathbb every number

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
points at infinityinstance ofobjects in geometry0.80text

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