Primary Decomposition with Differential Operators
نویسندگان
چکیده
Abstract We introduce differential primary decompositions for ideals in a commutative ring. Ideal membership is characterized by conditions. The minimal number of conditions needed the arithmetic multiplicity. Minimal are unique up to change bases. Our results generalize construction Noetherian operators analytic theory Ehrenpreis–Palamodov, and they offer concise method representing affine schemes. case modules also addressed. implemented an algorithm Macaulay2 that computes decomposition ideal polynomial
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2022
ISSN: ['1687-0247', '1073-7928']
DOI: https://doi.org/10.1093/imrn/rnac178