2013
DOI: 10.1007/s40065-013-0075-0
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Chain conditions in amalgamated algebras along an ideal

Abstract: Let A and B be two rings, let J be an ideal of B and let f : A → B be a ring homomorphism. In this paper, we study when the amalgamation of A with B along J with respect to f is a φ-ring. Hence, we study two different chain conditions over this structure. Namely, the nonnil-Noetherian condition and the Noetherian spectrum condition.

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Cited by 7 publications
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