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arxiv: 1309.5187 · v1 · pith:EIGZFJG4new · submitted 2013-09-20 · 🧮 math.AC

Pr\"ufer-like conditions on an amalgamated algebra along an ideal

classification 🧮 math.AC
keywords alongconditionsidealmathfrakringalgebraamalgamatedamalgamation
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Let $f:A\longrightarrow B$ be a ring homomorphism and let $\mathfrak b$ be an ideal of $B$. In this paper we study Pr\"ufer 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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