Trivial Extensions Defined by Coherent-like Conditions

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Publication:3158352

DOI10.1081/AGB-200027791zbMATH Open1068.13002arXivmath/0606696MaRDI QIDQ3158352

Author name not available (Why is that?)

Publication date: 24 January 2005

Published in: (Search for Journal in Brave)

Abstract: This paper investigates coherent-like conditions and related properties that a trivial extension might inherit from the ground ring over some classes of modules. It captures previous results dealing primarily with coherence, and also establishes satisfactory analogues of well-known coherence-like results on pullback constructions. Our results generate new families of examples of rings (with zerodivisors) subject to a given coherent-like condition.


Full work available at URL: https://arxiv.org/abs/math/0606696



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