Abstract
Let \(f: A{\longrightarrow } B\) be a ring homomorphism and J be an ideal of B. In this paper, we investigate the transfer of weakly finite conductor property in amalgamation of A with B along J with respect to f (denoted by \(A{\bowtie }^{f}J\)), introduced and studied by D’Anna, Finocchiaro and Fontana in 2009 (see D’Anna et al. (Commutative Algebra and Applications. Walter De Gruyter Publisher, Berlin, pp. 55–172, 2009), D’Anna et al. (J Pure Appl Algebra 214:1633–1641, 2010)). Our results generate original examples which enrich the current literature with new families of examples of nonfinite conductor weakly finite conductor rings.
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I would like to thank the referee for the useful suggestions and comments, which have greatly improved this article.
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El Alaoui, H. (2018). Weakly Finite Conductor Property in Amalgamated Algebra. In: Badawi, A., Vedadi, M., Yassemi, S., Yousefian Darani, A. (eds) Homological and Combinatorial Methods in Algebra. SAA 2016. Springer Proceedings in Mathematics & Statistics, vol 228. Springer, Cham. https://doi.org/10.1007/978-3-319-74195-6_12
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