Finite field and Unique factorization domain

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

Difference between Finite field and Unique factorization domain

Finite field vs. Unique factorization domain

In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements. In mathematics, a unique factorization domain (UFD) is an integral domain (a non-zero commutative ring in which the product of non-zero elements is non-zero) in which every non-zero non-unit element can be written as a product of prime elements (or irreducible elements), uniquely up to order and units, analogous to the fundamental theorem of arithmetic for the integers.

Similarities between Finite field and Unique factorization domain

Finite field and Unique factorization domain have 5 things in common (in Unionpedia): Cambridge University Press, Integer, Mathematics, Monic polynomial, Polynomial ring.

Cambridge University Press

Cambridge University Press (CUP) is the publishing business of the University of Cambridge.

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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").

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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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Monic polynomial

In algebra, a monic polynomial is a single-variable polynomial (that is, a univariate polynomial) in which the leading coefficient (the nonzero coefficient of highest degree) is equal to 1.

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Polynomial ring

In mathematics, especially in the field of abstract algebra, a polynomial ring or polynomial algebra is a ring (which is also a commutative algebra) formed from the set of polynomials in one or more indeterminates (traditionally also called variables) with coefficients in another ring, often a field.

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The list above answers the following questions

What Finite field and Unique factorization domain have in common
What are the similarities between Finite field and Unique factorization domain

Finite field and Unique factorization domain Comparison

Finite field has 96 relations, while Unique factorization domain has 54. As they have in common 5, the Jaccard index is 3.33% = 5 / (96 + 54).

References

This article shows the relationship between Finite field and Unique factorization domain. To access each article from which the information was extracted, please visit:

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