Prüfer-like conditions on an amalgamated algebra along an ideal

2013/09/20 by Carmelo Antonio Finocchiaro, Carmelo A. Finocchiaro, Finocchiaro, Carmelo A.
Mathematics · #13A15 #13B30 #13F05 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras #math.AC #msc:13A15 #msc:13B30 #msc:13F05

paper · pdf · doi:10.48550/arxiv.1309.5187

17 pages. To appear in Houston Journal of Mathematics

arxiv created 2013/09/20 · openalex publication_date 2013/09/20 · arxiv updated 2013/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let f:A\longrightarrow B be a ring homomorphism and let \mathfrak b be an ideal of B. In this paper we study Prüfer like conditions in the amalgamation of A with B along \mathfrak b, with respect to f, a ring construction introduced in 2009 by D'Anna, Finocchiaro and Fontana.

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