FI_G-modules over coherent rings

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• 作者：Weiqing Li ^{sdwg001@163.com} ; Jiancheng Guan ^{ku12328122@163.com} ; Baiyu Ouyang ; ^{oy@hunnu.edu.cn}
• 关键词：primary ; 16G99 ; secondary ; 18G10
• 刊名：Journal of Algebra
• 出版年：2017
• 出版时间：15 March 2017
• 年：2017
• 卷：474
• 期：Complete
• 页码：116-125
• 全文大小：279 K
• 卷排序：474

文摘

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