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

Document Type : Research Paper

Author

Department of Pure Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran

Abstract

Let f:ArightarrowB 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 AbowtiefJ to be J-Noetherian. Then we give a characterization for pseudo-irreducible ideals of AbowtiefJ, in special cases.

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