共查询到16条相似文献,搜索用时 109 毫秒
1.
一个与G-分次环和G-集的Smash积有关的Maschke-Type定理 总被引:1,自引:0,他引:1
对任意群G,[1]研究了有单位元1的G-分次环与有限可迁G-集的Smash积.在本文中,我们对任意可迁G-集A讨论了具有局部单位元的G-分次环与G-集A的Smash积,证明了有关的一个Maschke-tyPe定理.推广了[2][3]中的一些重要结果. 相似文献
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对任意群G,〔1〕研究了有单位元1的G-分次环与有限可迁G-集的Smash积,在本文中,我们对任意可迁G-集A讨论了具有局部单元元的G-分次环与G-集A的Smash积,证明了有关的一个Mahchke-type定理,推广了〔2〕〔3〕中的一些重要结果。 相似文献
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设G为任意群,本文借助于环的矩阵表示给出了G-分次环与任意可迁G-集的smash积是素环或单环的刻画. 相似文献
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G是群,R是G-分次环.本文将有限群G分次环R与G的smashproductR#G ̄*的理想交性质推广到无限群的情形.证明了:G是无限群,R是非奇异G-分次环.R与G的广义smashproductR#G ̄*有理想交性质的充要条件,对任意0≠a_e∈R_e. 相似文献
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分次Morita对偶,Morita对偶与Smash积 总被引:1,自引:0,他引:1
设C和r都是群,是G-型分次环,是Γ-型分次环.是双分次模,R#G是R的Smash积,A#Γ是A的Smash积。令W=(_gU_(σ-1))_(g,σ)即(g,σ)位置取_gU_(σ-1)的元素的|G|×|Γ|矩阵的全体组成的集合,且每个矩阵的每行和每列的非零元只有有限个,按矩阵运算,W构成(R#6,A#Γ)双模。则_RU_A定义了一个分次Morita对偶当且仅当_(R#G)W_(A#Γ)定义了一个Morita对偶。 相似文献
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Smash积为单环,素环,本原环的充要条件 总被引:1,自引:0,他引:1
本文对任意群G及任意的G-分环次A(不必含有单位元),讨论了A与Smash积A#G^的相关性质,给出了环A#G是单环,素环及本原环的刻划。 相似文献
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设S和R是环.本文证明了若下述条件之一成立,则S和R具有相同的凝聚维数:(1)S是R的优越扩张;(2)S和MMorita等价.作为上述结果的推论,我们证明了环R和下述环类具有相同的凝聚维数:(i)R上的矩阵环Mn(R);(i)R和有限群G(要求|G|-1∈R)的斜群环;(ii)Smash积R#G*(要求G是有限群且|G|-1∈R,R是G分次环) 相似文献
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Sun Jianhua 《数学季刊》1998,(3)
LetRbeaG-gradedringwithidentity1;thatisRg∈GRgandRgRhRghforallg,h∈G.TheassociativeringR#GdenotesthesmashproductforthegroupGandthegradedringR(see[3]or[4]).In[1],CohenandMontgomeryprovedthedualityTheoremsforactionsandcoactionsforfinitegroupG.In[2],af… 相似文献
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设R是G-分次环,A是G-集,(H,B)的忠实子对象,本文讨论了分次模范畴(A,R)-gr与分次模范范畴(B,Rn)-gr等价的条件;给出了R#A是单环,R#G/H是素环的刻划,所得结果均推广了已有结论。 相似文献
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设G是任意群,本文给出了G-集G/H-分次模的分次自同态环的刻画.特别地,对我们证得N(H)/H-分次自同态环END(G/H,R)-gr(M)等于分次环ENDR(M)N(H)/H. 相似文献
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设R是G-分次环,H是G的子群,本文通过构造两个Moritacontext,给出了环B{H}Morita等价于R_H,R#G ̄*Morita等价于R_H#H ̄*的充分必要条件. 相似文献
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《Quaestiones Mathematicae》2013,36(2):95-99
ABSTRACT It is well known that the class R of all reduced torsion groups has the property that G ? T[Ext(Q/Z,G)] for every G in R. In this paper we prove the existence of other classes K of groups having the property that a group X exists such that G ? T[Ext(X,G)] for every group G in H. Furthermore these classes turn out to be maximal with respect to this property. 相似文献
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Michael Grosser 《manuscripta mathematica》1984,48(1-3):291-295
Let A be a Banach algebra with bounded approximate right identity. We show that a necessary condition for the bidual of A to admit an algebra involution (with respect to the first Arens product) is that A*A=A*, i.e. the dual of A has to be essential as a right A-module. In particular, for any infinite, non-discrete, locally compact Hausdorff group G, L1(G)** does not admit any algebra involution with respect to either Arens product. This implies that the main result of a paper of R.S. Doran and W. Tiller concerning L1(G)** as Banach *-algebra (see [DT]) applies only to the trivial case of finite abelian groups.Essentially, the proof of the foregoing lemma is due to H.Rindler. 相似文献
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Antonio Boccuto Anna Rita Sambucini 《Rendiconti del Circolo Matematico di Palermo》2000,49(2):395-396
In [3] we did not give explicitly the definition of measurability for realvalued functions, with respect to finitely additive
measures with values in a Dedekind complete Riesz space. We note that, in [3], all involved functions are intended to be measurable.
We now report the definition of measurability, which we gave in [2] (Definition 3.2).
Lavoro svolto nell’ ambito dello G.N.A.F.A. del C.N.R. 相似文献