Decomposition of ideals into pseudo-irreducible ideals in amalgamated algebra along an ideal
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Abstract:
Let $f : A rightarrow B$ be a ring homomorphism and $J$ an ideal of $B$. In this paper, we give a necessary and sufficient condition for the amalgamated algebra along an ideal $Abowtie^fJ$ to be $J$-Noetherian. Then we give a characterization for pseudo-irreducible ideals of $Abowtie^fJ$, in special cases.
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Journal title
volume 6 issue 1
pages 13- 24
publication date 2017-05-01
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