Affiliation:
1. Dipartimento di Matematica “Tullio Levi Civita”, Università di Padova, Padova 35121, Italy
Abstract
Let [Formula: see text] be ring homomorphisms and let [Formula: see text] (respectively, [Formula: see text]) be an ideal of [Formula: see text] (respectively, [Formula: see text]) satisfying [Formula: see text]. Recently, Kabbaj, Louartiti and Tamekkante defined and studied the following subring: [Formula: see text] of [Formula: see text], called the bi-amalgamation of [Formula: see text] with [Formula: see text] along [Formula: see text], with respect to [Formula: see text]. This ring construction is a natural generalization of the amalgamated algebras, introduced and studied by D’Anna, Finocchiaro and Fontana. The aim of this paper is to continue the investigation started by Kabbaj, Louartiti and Tamekkante by providing a deeper insight on the ideal-theoretic structure of bi-amalgamations.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
2 articles.
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