Some remarks about the Dedekind-Mertens lemma

• Autorzy: Jakub Byszewski
• Języki publikacji: EN

Abstrakty

EN

The Dedekind-Mertens lemma relates the contents of two polynomials and the content of their product. Recently, Epstein and Shapiro extended this lemma to the case of power series. We review the problem with a special emphasis on the case of power series, give an answer to a question posed by Epstein-Shapiro and investigate extensions of some related results. This note is of expository character and discusses the history of the problem, some examples and announces some new results.

Kategorie tematyczne

• 13F25: Formal power series rings
• 13B25: Polynomials over commutative rings
• 13A15: Ideals; multiplicative ideal theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2016
• Tom: 108
• Numer: 1
• Strony: 31-36

Daty

wydano

2016

Twórcy

autor

Jakub Byszewski

• Institute of Mathematics, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/bc108-0-3