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Greatest common divisor and Ideal (ring theory)

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

Difference between Greatest common divisor and Ideal (ring theory)

Greatest common divisor vs. Ideal (ring theory)

In mathematics, the greatest common divisor (gcd) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. In ring theory, a branch of abstract algebra, an ideal is a special subset of a ring.

Similarities between Greatest common divisor and Ideal (ring theory)

Greatest common divisor and Ideal (ring theory) have 9 things in common (in Unionpedia): Complete lattice, Distributive lattice, Ernst Kummer, Field (mathematics), Fundamental theorem of arithmetic, Integer, Integral domain, Natural number, Principal ideal domain.

Complete lattice

In mathematics, a complete lattice is a partially ordered set in which all subsets have both a supremum (join) and an infimum (meet).

Complete lattice and Greatest common divisor · Complete lattice and Ideal (ring theory) · See more »

Distributive lattice

In mathematics, a distributive lattice is a lattice in which the operations of join and meet distribute over each other.

Distributive lattice and Greatest common divisor · Distributive lattice and Ideal (ring theory) · See more »

Ernst Kummer

Ernst Eduard Kummer (29 January 1810 – 14 May 1893) was a German mathematician.

Ernst Kummer and Greatest common divisor · Ernst Kummer and Ideal (ring theory) · See more »

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.

Field (mathematics) and Greatest common divisor · Field (mathematics) and Ideal (ring theory) · See more »

Fundamental theorem of arithmetic

In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integer greater than 1 either is a prime number itself or can be represented as the product of prime numbers and that, moreover, this representation is unique, up to (except for) the order of the factors.

Fundamental theorem of arithmetic and Greatest common divisor · Fundamental theorem of arithmetic and Ideal (ring theory) · See more »

Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

Greatest common divisor and Integer · Ideal (ring theory) and Integer · See more »

Integral domain

In mathematics, and specifically in abstract algebra, an integral domain is a nonzero commutative ring in which the product of any two nonzero elements is nonzero.

Greatest common divisor and Integral domain · Ideal (ring theory) and Integral domain · See more »

Natural number

In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").

Greatest common divisor and Natural number · Ideal (ring theory) and Natural number · See more »

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.

Greatest common divisor and Principal ideal domain · Ideal (ring theory) and Principal ideal domain · See more »

The list above answers the following questions

Greatest common divisor and Ideal (ring theory) Comparison

Greatest common divisor has 86 relations, while Ideal (ring theory) has 93. As they have in common 9, the Jaccard index is 5.03% = 9 / (86 + 93).

References

This article shows the relationship between Greatest common divisor and Ideal (ring theory). To access each article from which the information was extracted, please visit:

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