Twisted polynomial and power series rings

DOI10.1007/S41980-020-00503-5zbMath1483.13008OpenAlexW3123931608MaRDI QIDQ2119263

Phan Thanh Toan, Gyu Whan Chang

Publication date: 29 March 2022

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-020-00503-5

zbMATH Keywords

UFDGCD-domaintwisted polynomialtwisted power series

Mathematics Subject Classification ID

Polynomials over commutative rings (13B25) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Formal power series rings (13F25) Divisibility and factorizations in commutative rings (13A05)

Cites Work

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• Basic properties of Hurwitz series rings
• Factorization in Hurwitz series domain
• Ideal structure of Hurwitz series rings
• Automorphisms of Hurwitz series
• Hurwitz series as formal functions
• Krull dimension and unique factorization in Hurwitz polynomial rings
• Chain Condition on Annihilators and Strongly Hopfian Property in Hurwitz Series Ring
• Linear differential equations and Hurwitz series
• On the ring of hurwitz series
• Hermite and ps-rings of hurwitz series^∗
• Graded-valuation domains
• Polynomial and power series ring extensions from sequences
• Divisibility properties of twisted semigroup rings

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