Bi-amalgamated algebras along ideals

DOI10.1216/JCA-2017-9-1-65zbMath1390.13008arXiv1407.7074OpenAlexW2964222675MaRDI QIDQ521352

Salah-Eddine Kabbaj, Mohammed Tamekkante, Khalid Louartiti

Publication date: 7 April 2017

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.7074

zbMATH Keywords

Zariski topologypullbackNoetherian ringprime spectrumamalgamated duplicationamalgamated algebrabi-amalgamation

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Projective and free modules and ideals in commutative rings (13C10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (19)

Bi-amalgamations subject to the clean and nil-clean properties ⋮ Note on the weak global dimension of coherent bi-amalgamations ⋮ Bi-amalgamation of rings defined by certain annihilator conditions ⋮ Amalgamated algebras along an ideal defined by 1-absorbing-like conditions ⋮ FMR-rings in some distinguished constructions ⋮ Clean-like properties in bi-amalgamation algebras ⋮ Bi-amalgamations subject to the arithmetical property ⋮ Classes of trivial ring extensions and amalgamations subject to pseudo-almost valuation condition ⋮ On Steinitz-like properties in amalgamated algebras along an ideal ⋮ Almost valuation property in bi-amalgamations and pairs of rings ⋮ Gaussian and Prüfer conditions in bi-amalgamated algebras ⋮ Quasi-Frobenius amalgamated algebras ⋮ A note on amalgamated rings along an ideal ⋮ Some commutative ring extensions defined by almost Bézout condition ⋮ Weakly prime ideals issued from an amalgamated algebra ⋮ Unnamed Item ⋮ Bi-amalgamated constructions ⋮ Armendariz-like properties in bi-amalgamations ⋮ Unnamed Item

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