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b-Symbol Distance Distribution of Repeated-Root Cyclic Codes Read chapter Read first chapter

2018 | OriginalPaper | Chapter

Weakly Finite Conductor Property in Amalgamated Algebra

Author : Haitham El Alaoui

Published in: Homological and Combinatorial Methods in Algebra

Publisher: Springer International Publishing

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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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previous chapter Pairs of Rings Whose All Intermediate Rings Are G–Rings
next chapter Coherence in Bi-amalgamated Algebras Along Ideals
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Metadata
Title
Weakly Finite Conductor Property in Amalgamated Algebra
Author
Haitham El Alaoui
Copyright Year
2018
Book
Homological and Combinatorial Methods in Algebra

Print ISBN: 978-3-319-74194-9

Electronic ISBN: 978-3-319-74195-6

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-74195-6_12

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