Decomposition of ideals into pseudo-irreducible ideals in amalgamated algebra along an ideal

نویسنده

  • Esmaeil Rostami Department of Pure Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
چکیده مقاله:

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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عنوان ژورنال

دوره 6  شماره 1

صفحات  13- 24

تاریخ انتشار 2017-05-01

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