Abstract
We continue the discussion of how an action of a group by automorphisms on a ring helps in analyzing the prime spectrum. If, sayHis a group acting on a ring R, then we can partition spec Rinto H-orbits. This partition is nice for theoretical purposes, but in practice it can be very difficult to deal with — there may be infinitely many H-orbits in spec R, and they can be hard to calculate. It proves useful to look for a coarser partition. Note that if Pand P’are prime ideals of Rwith the same H-orbit, then
Following this hint, we partition spec Rinto “H-strata”, where prime ideals Pand P’belong to the same H-stratum if and only if (P: H) = (P’: H).}
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© 2002 Springer Basel AG
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Brown, K.A., Goodearl, K.R. (2002). Stratification. In: Lectures on Algebraic Quantum Groups. Advanced Courses in Mathematics CRM Barcelona. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8205-7_18
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DOI: https://doi.org/10.1007/978-3-0348-8205-7_18
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-6714-5
Online ISBN: 978-3-0348-8205-7
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