Trivial Extensions Defined by Coherent-like Conditions

Details Trivial Extensions Defined by Coherent-like Conditions Trivial Extensions Defined by Coherent-like Conditions

2006-06-27

arxiv.org/abs/math/0606696v1

Comm. Algebra 32 (10) (2004) 3937-3953

Mathematics

Commutative Algebra

18 pages

Scientific paper

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.

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