Polynomial and power series fgc-rings have trivial coefficient rings

DOI10.1080/00927878408823141zbMath0548.13006OpenAlexW2139048228MaRDI QIDQ3340966

G. Naude, C. G. Naude, James Brewer

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/00927878408823141

zbMATH Keywords

polynomial ringpower series ringdirect sums of cyclic modulesFGC- ringsum of fields

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Structure, classification theorems for modules and ideals in commutative rings (13C05) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Formal power series rings (13F25)

Cites Work

• Rings whose finitely generated modules are direct sums of cyclics
• Semigroup rings as Prüfer rings

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