Non-Unique Factorization of Polynomials Over Residue Class Rings of the Integers

DOI10.1080/00927872.2010.549158zbMath1223.13014arXiv0907.0657OpenAlexW2010753359MaRDI QIDQ2995352

Sophie Frisch, Christopher Frei

Publication date: 20 April 2011

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.0657

zbMATH Keywords

elasticityfactorization of polynomialsmonoidsfinite ringzero-divisorsnon-unique factorizations

Mathematics Subject Classification ID

Commutative semigroups (20M14) Polynomials over finite fields (11T06) Polynomials, factorization in commutative rings (13P05) Polynomials and finite commutative rings (13M10)

Related Items (9)

On Least Common Multiples of Polynomials inZ/nZ[x] ⋮ \(\tau\)-regular factorization in commutative rings with zero-divisors ⋮ A construction of integer-valued polynomials with prescribed sets of lengths of factorizations ⋮ The monotone catenary degree of monoids of ideals ⋮ Factorization with respect to a divisor-closed multiplicative submonoid of a ring ⋮ Factorizations in Modules and Splitting Multiplicatively Closed Subsets ⋮ Sets of lengths of powers of a variable ⋮ Unique factorization in polynomial rings with zero divisors ⋮ From additive flowers to additive automata networks

Cites Work

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• Polynomial functions and permutation polynomials over some finite commutative rings
• Factorization in commutative rings with zero divisors
• On polynomial functions over finite commutative rings
• Factorization in commutative rings with zero divisors. III

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