Bézout domain and Finitely generated module

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

Difference between Bézout domain and Finitely generated module

Bézout domain vs. Finitely generated module

In mathematics, a Bézout domain is a form of a Prüfer domain. In mathematics, a finitely generated module is a module that has a finite generating set.

Similarities between Bézout domain and Finitely generated module

Bézout domain and Finitely generated module have 6 things in common (in Unionpedia): Dedekind domain, Hereditary ring, Mathematics, Maximal ideal, Noetherian ring, Principal ideal domain.

Dedekind domain

In abstract algebra, a Dedekind domain or Dedekind ring, named after Richard Dedekind, is an integral domain in which every nonzero proper ideal factors into a product of prime ideals.

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Hereditary ring

In mathematics, especially in the area of abstract algebra known as module theory, a ring R is called hereditary if all submodules of projective modules over R are again projective.

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Mathematics

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

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Maximal ideal

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.

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In mathematics, more specifically in the area of abstract algebra known as ring theory, a Noetherian ring is a ring that satisfies the ascending chain condition on left and right ideals; that is, given any chain of left (or right) ideals: there exists an n such that: Noetherian rings are named after Emmy Noether.

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Principal ideal domain

In abstract algebra, a principal ideal domain, or PID, is an integral domain in which every ideal is principal, i.e., can be generated by a single element.

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The list above answers the following questions

What Bézout domain and Finitely generated module have in common
What are the similarities between Bézout domain and Finitely generated module

Bézout domain and Finitely generated module Comparison

Bézout domain has 35 relations, while Finitely generated module has 63. As they have in common 6, the Jaccard index is 6.12% = 6 / (35 + 63).

References

This article shows the relationship between Bézout domain and Finitely generated module. To access each article from which the information was extracted, please visit:

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