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Radical semistar operations
- Source :
- Communications in Algebra. 51:2217-2231
- Publication Year :
- 2022
- Publisher :
- Informa UK Limited, 2022.
-
Abstract
- We introduce and study the set of radical stable operations of an integral domain $D$. We show that their set is a complete lattice that is the join-completion of the set of spectral semistar operations, and we characterize when every radical operation is spectral (under the hypothesis that $D$ is rad-colon coherent). When $D$ is a Pr\"ufer domain such that every set of minimal prime ideals is scattered, we completely classify stable semistar operations.
Details
- ISSN :
- 15324125 and 00927872
- Volume :
- 51
- Database :
- OpenAIRE
- Journal :
- Communications in Algebra
- Accession number :
- edsair.doi.dedup.....3642a31966c8d1a6e9f5c919ef6e2e7a