On Strongly Nonnil-Coherent Rings and Strongly Nonnil-Noetherian Rings
Bulletin of the Iranian Mathematical Society(2024)
摘要
The first part of this paper introduces and studies the class of strongly nonnil-coherent rings, a subclass of the already defined and studied class of nonnil-coherent rings. Contrary to the classical result that every Noetherian ring is coherent, a nonnil-Noetherian ring need not be nonnil-coherent. To remedy this, the second part introduces and studies the class of strongly nonnil-Noetherian rings, a subclass of the class of nonnil-Noetherian rings. Some examples are also given to illustrate the results.
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关键词
Strongly nonnil-coherent ring,Strongly nonnil-Noetherian ring,13A02,13A15
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