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ACCR ring of the forms \(\mathcal {A}[X]\) and \(\mathcal {A}[[X]]\)

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Publication:1623017
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DOI10.1007/s11587-017-0337-9zbMath1423.13067OpenAlexW2753623085MaRDI QIDQ1623017

Achraf Malek, Ahmed Hamed, Ali Benhissi

Publication date: 22 November 2018

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-017-0337-9


zbMATH Keywords

polynomial ringformal power series ringNoetherian moduleACCR ring


Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals and multiplicative ideal theory in commutative rings (13A15) Formal power series rings (13F25) Commutative ring extensions and related topics (13B99)




Cites Work

  • The amalgamated duplication of a ring along a multiplicative-canonical ideal
  • Properties of chains of prime ideals in an amalgamated algebra along an ideal
  • N-rings and ACC on colon ideals
  • Modules satisfying ACC on a certain type of colons
  • S-Noetherian Rings of the Forms 𝒜[X and 𝒜[[X]]]
  • AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES
  • Amalgamated algebras along an ideal
  • Modules and Rings Satisfying (ACCR)


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