The power series Dedekind-Mertens number

DOI10.1080/00927872.2019.1566958zbMath1423.13035OpenAlexW2912321878MaRDI QIDQ4967375

Thieu N. Vo, Phan Thanh Toan

Publication date: 3 July 2019

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

Full work available at URL: https://doi.org/10.1080/00927872.2019.1566958

zbMATH Keywords

polynomial ringpower series ringcontent idealDedekind-Mertens number

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Ideals and multiplicative ideal theory in commutative rings (13A15) Formal power series rings (13F25)

Related Items (1)

Dedekind-Mertens lemma for power series in an arbitrary set of indeterminates

Cites Work

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• On the Gröbner bases of some symmetric systems and their application to coding theory.
• Products of ideals and jet schemes
• Dedekind-Mertens lemma and content formulas in power series rings
• Polynomial algorithms in computer algebra
• Content formulas for polynomials and power series and complete integral closure
• A Dedekind-Mertens theorem for power series rings
• A generalized Dedekind-Mertens lemma and its converse
• The Dedekind-Mertens formula and determinantal rings
• The Dedekind-Mertens Lemma and the contents of polynomials
• Some Applications of the Hilfssatz von Dedekind Mertens.
• On the Contents of Polynomials

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