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

Carmelo A. Finocchiaro

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

Commutative Algebra 2013-09-23 v1

Authors: Carmelo A. Finocchiaro

Abstract

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.

Keywords

amalgamated algebra Pr\"ufer conditions ring homomorphism ideal ring construction

Cite

@article{arxiv.1309.5187,
  title  = {Pr\"ufer-like conditions on an amalgamated algebra along an ideal},
  author = {Carmelo A. Finocchiaro},
  journal= {arXiv preprint arXiv:1309.5187},
  year   = {2013}
}

Comments

17 pages. To appear in Houston Journal of Mathematics

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