A fresh look into monoid rings and formal power series rings

DOI10.1142/S0219498820500036zbMath1440.13093arXiv1709.01426WikidataQ114614769 ScholiaQ114614769MaRDI QIDQ5107135

Abolfazl Tarizadeh

Publication date: 23 April 2020

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

Full work available at URL: https://arxiv.org/abs/1709.01426

zbMATH Keywords

adic topologyprojective limitformal power series ringmonoid ringring of polynomials

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in general fields (irreducibility, etc.) (12E05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Polynomials and rational functions of one complex variable (30C10) Formal power series rings (13F25) Power series rings (13J05) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Polynomials and finite commutative rings (13M10)

Related Items (1)

Structural results on lifting, orthogonality and finiteness of idempotents

Cites Work

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• Algebraic elements in formal power series rings
• Quotient rings of polynomial rings
• Catenarity of formal power series rings over a pullback
• Infinite groups acting on formal power series rings
• On the unique factorization theorem for formal power series
• Commutator automorphisms of formal power series rings
• Polytopes, Rings, and K-Theory
• Chain of Prime Ideals in Formal Power Series Rings
• Projective modules over polynomial rings

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