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| Obtaining injective modules with Singular https://www.singular.uni-kl.de/forum/viewtopic.php?f=10&t=2921 |
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| Author: | Questionn [ Wed Sep 16, 2020 11:23 pm ] |
| Post subject: | Obtaining injective modules with Singular |
Hi, I have not used singular before but read a bit in the book, but was not able to find the commands needed to produce indecomposable injective modules in a given commutative ring. Given a ring R, any such indecomposable injective module is isomorphic to the injective envelope of a module of the form R/p for a prime ideal p. So the input is a ring R together with a prime ideal p and the output should be the injective envelope of the module R/p. How can this be done with singular? For example one could take R to be the polynomial ring in two variables over the complex numbers and for p a prime ideal generated by some polynomials. Thank you for the help |
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