Polynomials inducing the zero function on chain rings

DOI10.1142/S0219498818501608zbMath1419.13048MaRDI QIDQ3177325

Cameron Wickham, Mark W. Rogers

Publication date: 31 July 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

Artinian ringspolynomial functionsdiscrete valuation ringfinite ringchain ringvanishing polynomials

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Principal ideal rings (13F10) Polynomials in number theory (11C08) Polynomials over commutative rings (13B25) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Polynomials and finite commutative rings (13M10)

Related Items (1)

Everywhere vanishing polynomial functions

Cites Work

• Unnamed Item
• Primary decomposition of the ideal of polynomials whose fixed divisor is divisible by a prime power
• Polynomial transformations of finite commutative local principal ideal rings
• Functions \(f:\mathbb Z/p^n\mathbb Z\to\mathbb Z/p^n\mathbb Z\) induced by polynomials of \(\mathbb Z[X\)]
• On the structure of principal ideal rings
• Ideals and Polynomial Functions
• Polynomials Inducing the Zero Function on Local Rings
• Functions and polynomials ($mod p^n$)
• POLYNOMIALS THAT KILL EACH ELEMENT OF A FINITE RING

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