Localisation in rings equipped with a solvable Lie algebra action
作者:
Thomas Guédénon,
期刊:
Communications in Algebra
(Taylor Available online 2000)
卷期:
Volume 28,
issue 7
页码: 3523-3533
ISSN:0092-7872
年代: 2000
DOI:10.1080/00927870008827038
出版商: Gordon and Breach Science Publishers Ltd.
数据来源: Taylor
摘要:
Letkbe an algebraically closed uncountable field of characteristic 0,ga finite dimensional solvablek-Lie algebraRa noetheriank-algebra on whichgacts byk-derivationsU(g) the enveloping algebra ofg,A=R*gthe crossed product ofRbyU(g)Pa prime ideal ofAand Ω(P) the clique ofP. Suppose that the prime ideals of the polynomial ringR[x] are completely prime. IfRisg-hypernormal, then Ω(P) is classical. Denote byATthe localised ring and letMbe a primitive ideal ofATSetQ=P∩RIn this note, we show that ifRis a strongly (R,g)-admissible integral domain and ifQRQis generated by a regularg-centralising set of elements, then
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