Prüfer Conditions in an Amalgamated Duplication of a Ring Along an Ideal

DOI10.1080/00927872.2014.897575zbMath1327.13063arXiv1601.07656OpenAlexW2052835807MaRDI QIDQ5245126

Mohamed Chhiti, Mohammad Jarrar, Najib Mahdoua, Salah-Eddine Kabbaj

Publication date: 2 April 2015

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

Full work available at URL: https://arxiv.org/abs/1601.07656

zbMATH Keywords

Prüfer domainPrüfer ringtrivial extensionpullbacksemihereditary ringarithmetical ringamalgamated duplication of a ring along an idealGaussian ringFqp-ring

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Homological dimension and commutative rings (13D05) Projective and free modules and ideals in commutative rings (13C10) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

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fqp-Property in amalgamated algebras along an ideal ⋮ On some flatness properties over commutative rings ⋮ WEAKLY PRIMARY IDEAL AND Φ-PRIMARY IDEAL IN AMALGAMATED ALGEBRA ALONG AN IDEAL ⋮ Bi-amalgamations subject to the clean and nil-clean properties ⋮ A construction of Prüfer rings involving quotients of Rees algebras ⋮ Prüfer conditions in the Nagata ring and the Serre’s conjecture ring ⋮ Note on the weak global dimension of coherent bi-amalgamations ⋮ Prüfer property in amalgamated algebras along an ideal ⋮ Amalgamation over a Graded Ring ⋮ A Survey on Algebraic and Homological Properties of Amalgamated Algebras of Commutative Rings ⋮ Bi-amalgamations subject to the arithmetical property ⋮ Duplication of a module along an ideal ⋮ Unnamed Item ⋮ Gaussian and Prüfer conditions in bi-amalgamated algebras ⋮ Weakly prime ideals issued from an amalgamated algebra ⋮ New Algebraic Properties of an Amalgamated Algebra Along an Ideal ⋮ Prüfer conditions in amalgamated algebras ⋮ Radical factorization for trivial extensions and amalgamated duplication rings ⋮ The divided, going-down, and Gaussian properties of amalgamation of rings ⋮ Unnamed Item

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