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Higher relative primitive ideals |
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| Authors: | Guangfeng Jiang Aron Simis |
| Affiliation: | Department of Mathematics, Jinzhou Normal University, Jinzhou City, Liaoning 121000, People's Republic of China Aron Simis ; Departamento de Matemática, CCEN, Universidade Federal de Pernambuco, Av. Prof. Luis Freire, 50740-540 Recife, PE, Brazil |
| Abstract: | The main object of this note is to introduce a higher order analog of the so-called primitive ideal of  relative to  introduced by Jiang-Pellikaan-Siersma, where  are germs of analytic subspaces of  . Our treatment of the problem is ideal-theoretic throughout, using the notion of iterated higher differential operators. Some examples from singularity theory are worked out. We establish the connection between higher primitive ideals and (relative) symbolic powers of an ideal and give an effective algorithm to compute both. |
| Keywords: | Primitive ideal symbolic power differential operator Jacobian matrix surface singularity |
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