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FIG-modules over coherent rings

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Abstract We consider an open problem posted by Sam and Snowden in 2014 in [12, Problem 11.5] when the category in question is F I G . We prove that,… Click to show full abstract

Abstract We consider an open problem posted by Sam and Snowden in 2014 in [12, Problem 11.5] when the category in question is F I G . We prove that, over a commutative coherent ring, every finitely presented FI-module is coherent. It turns out that many properties of finitely presented F I G -modules may be generalized from Noetherian rings to coherent rings.

Keywords: fig modules; modules coherent; coherent rings

Journal Title: Journal of Algebra
Year Published: 2017

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