TubeTalkTubeTalk Pronunciation
How to pronounce “unique factorization ring”
Hear “unique factorization ring” in real YouTube speech, then study definitions and example sentence snippets.
Pronunciation guide for unique factorization ring
- Learning goal
- Practice the English pronunciation of unique factorization ring with real speech in context.
- Available examples
- 8 YouTube examples
- Real speech example
- In the war for information, will quantum computers defeat cryptographers?
- Definition summary
- (algebra, ring theory) A ring in which every non-zero, non-unit (i.e., proper) element can be factored into a product of prime elements (not necessarily distinct), such that such factorization is unique up to permutation of the factors and the replacing of primes by their associate primes.
Example 1 of 8
How to pronounce unique factorization ring
In the war for information, will quantum computers defeat cryptographers?
Click play to start learning
Example Sentences
A Deep Dive Into “unique factorization ring”
Meaning
- [Noun]
- (algebra, ring theory) A ring in which every non-zero, non-unit (i.e., proper) element can be factored into a product of prime elements (not necessarily distinct), such that such factorization is unique up to permutation of the factors and the replacing of primes by their associate primes.
Practice Nearby Words
unique factorization domain, factor ideal, factor ring, local ring, division ring, integer factorization, integral domain, prime ring, zero divisor, total ring of fractions, boolean ring, principal ideal ring, dedekind domain, integral element, prime factor, simple ring, factorizer, ideal, prime factorization, radical, quotient ring, primitive polynomial, fundamental theorem of arithmetic, factorizability, valuation ring, ring of fractions, regular element, pseudoradical, factorization, field of fractions, reduced ring, noetherian ring, subfactor, right ideal, factorizing, primary ideal, domain, localization, stark-heegner theorem, factor space, fractional ideal, commutative ring, ordered ring, factorability, prime ideal, residue field, prime decomposition, factorion, frobenius endomorphism, characteristic, subfield, idealizer, maximal ideal, radical ideal, product ring, near-ring, factoring, field of quotients, matrix algebra, rack, factorisation, field, algebra over a ring, polynomial ring, kummer ring, multiplicative subset, ring homomorphism, free abelian group, polynomial algebra, group ring, skew field, principal ideal, algebraic normal form, minimal ideal, ideal number, almost prime, k-algebra, polynomial basis, algebraic number field, splitting field, perfect field, subring, division algebra, direct product, identity element, rank, principal ideal domain, ringoid, reduced algebra, associate, spectrum, homogeneous number, content, ring, ring isomorphism, left ideal, factorialization, free module, zero, scalar multiplication
Similar Sounds
prime factorization, characterisation, characterization, denuclearization, satirization, sonification, sarmatian, socket wrench, solifidian, solid solution