Axiom of choice and Maximal ideal

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

Difference between Axiom of choice and Maximal ideal

Axiom of choice vs. Maximal ideal

In mathematics, the axiom of choice, or AC, is an axiom of set theory equivalent to the statement that the Cartesian product of a collection of non-empty sets is non-empty. In mathematics, more specifically in ring theory, a maximal ideal is an ideal that is maximal (with respect to set inclusion) amongst all proper ideals.

Similarities between Axiom of choice and Maximal ideal

Axiom of choice and Maximal ideal have 5 things in common (in Unionpedia): Field (mathematics), Ideal (ring theory), Krull's theorem, Mathematics, Springer Science+Business Media.

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.

Axiom of choice and Field (mathematics) · Field (mathematics) and Maximal ideal · See more »

Ideal (ring theory)

In ring theory, a branch of abstract algebra, an ideal is a special subset of a ring.

Axiom of choice and Ideal (ring theory) · Ideal (ring theory) and Maximal ideal · See more »

Krull's theorem

In mathematics, and more specifically in ring theory, Krull's theorem, named after Wolfgang Krull, asserts that a nonzero ring has at least one maximal ideal.

Axiom of choice and Krull's theorem · Krull's theorem and Maximal ideal · See more »

Mathematics

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

Axiom of choice and Mathematics · Mathematics and Maximal ideal · 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.

Axiom of choice and Springer Science+Business Media · Maximal ideal and Springer Science+Business Media · See more »

The list above answers the following questions

What Axiom of choice and Maximal ideal have in common
What are the similarities between Axiom of choice and Maximal ideal

Axiom of choice and Maximal ideal Comparison

Axiom of choice has 173 relations, while Maximal ideal has 35. As they have in common 5, the Jaccard index is 2.40% = 5 / (173 + 35).

References

This article shows the relationship between Axiom of choice and Maximal ideal. To access each article from which the information was extracted, please visit:

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