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In this note, we offer a simpler, alternate approach to the work of Section 3 of “Prime ideals in crossed products of finite
groups.” Indeed, by using the induced ideal map
G
instead of theν map, we have eliminated many of the unpleasant computations of the original argument. 相似文献
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We will prove a result concerning the inclusion of non-trivial invariant ideals inside non-trivial ideals of a twisted crossed
product. We will also give results concerning the primeness and simplicity of crossed products of twisted actions of locally
compact groups on -algebras.
Received: 25 January 2002; in final form: 22 May 2002/Published online: 2 December 2002
This work is partially supported by Hong Kong RGC Direct Grant. 相似文献
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In this paper, we study prime ideals and radicals of centred extensions of rings. Obtained results are applied to tensor products
of algebras over commutative rings.
This research was partially supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), Brazil. The
second-named author was also supported by KBN grant 2 P301 035 06. 相似文献
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Let K?G be a crossed product of a multiplicative group G over an associative ring K with 1 and let C(G) be the center of G. If K has no C(G)-invariant ideals, then the Jacobson radical of the center of K?G is a nil ideal. In addition, if G is a ZA-group, then K?G is semisimple if and only if K?G has no central nilpotent elements. 相似文献
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Summary Study of relations between the prime and maximal spectra of a ringA and ofA[X], without noetherian assumptions. Application to the cases whereA has finite noetherian type andA is an arbitrary valuation domain; behaviour of the catenary property. New proofs of known results aboutG-ideals and Hilbert domains.
Riassunto Si studiano le relazioni fra lo spettro ideale e quello massimale di un anelloA e diA[X] senza ipotesi di noetherianità. Si fanno delle applicazioni ai casi in cuiA è un anello di tipo noetheriano finito o è un arbitrario dominio di valutazione; si studia inoltre il comportamento della proprietà catenaria. Si danno nuove dimostrazioni di risultati noti suG-ideali e domini di Hilbert.相似文献
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For the Ore extension R[t, S,D], where R is a prime ring, we describe prime having zero intersection with R. 相似文献