Noetherian rings of low global dimension and syzygetic prime ideals
نویسندگان
چکیده
Let R be a Noetherian ring . We prove that has global dimension at most two if, and only every prime ideal of is linear type. Similarly, we show three syzygetic. As consequence, derive characterization these rings using the André-Quillen homology.
منابع مشابه
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2021
ISSN: ['1873-1376', '0022-4049']
DOI: https://doi.org/10.1016/j.jpaa.2020.106494