AI 中文总结
构造一个有诺特生成元、满足AB4*且不等价于模范畴的格罗滕迪克范畴，以否定回答贾门特问题，通过加布里埃尔商得到该范畴，证明依赖迹准则。
AI 中文摘要
我们构造了一个格罗滕迪克范畴，它有一个诺特生成元，满足AB4*，且不等价于模范畴。这给了贾门特问题一个否定答案。该范畴是通过赫贝拉、普日霍达和维根德工作中出现的自同态环上模范畴的加布里埃尔商得到的。证明依赖于马尔蒂尼、帕拉、绍林和维里利建立的迹准则。
英文摘要
We construct a Grothendieck category that has a noetherian generator, satisfies AB4*, and is not equivalent to a module category. This gives a negative answer to Djament's problem. The category is obtained as a Gabriel quotient of a module category over the endomorphism ring appearing in the work of Herbera, Př\'ıhoda, and Wiegand. The proof relies on the trace criterion established by Martini, Parra, Saor\'ın, and Virili.
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