共查询到20条相似文献,搜索用时 9 毫秒
1.
证明了置换环上n-稳定秩条件关于Morita Context是遗传的;进一步把该结果推广到了强可分环,从而提供了新的具有模消去的置换环。 相似文献
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模消去的Morita Contexts 总被引:4,自引:0,他引:4
证明了置换环上n-稳定秩条件关于Morita Context是遗传的;进一步把该结果推广到了强可分环,从而提供了新的具有模消去的置换环. 相似文献
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We modify the definition of Dirac cohomology in such a way that the standard properties of the usual Dirac cohomology, valid for modules with infinitesimal character, become valid also for modules with only generalized infinitesimal character. 相似文献
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《代数通讯》2013,41(4):1833-1852
ABSTRACT A module M is called (strongly) FI-extending if every fully invariant submodule is essential in a (fully invariant) direct summand. The class of strongly FI-extending modules is properly contained in the class of FI-extending modules and includes all nonsingular FI-extending (hence nonsingular extending) modules and all semiprime FI-exten ding rings. In this paper we examine the behavior of the class of strongly FI-extending modules with respect to the preservation of this property in submodules, direct summands, direct sums, and endomorphism rings. 相似文献
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陈焕艮 《数学年刊A辑(中文版)》2003,(4)
设Q是有限置换右R模,则End_R(Q)是可分环当且仅当对所有A,B∈FP(Q),A AA B B B A≤ B或 B≤A,作为应用得到了 End_R(P Q)是可分环当且仅当End_R P和End_R Q为可分环,其中P,Q为有限置换右R模。 相似文献
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设Q是有限置换右R模,则EndR(Q)是可分环当且仅当对所有A,B∈FP(Q),A A≌A B≌B B A≤ B或B≤ A.作为应用得到了EndR(P Q)是可分环当且仅当EndRP和EndRQ为可分环,其中P,Q为有限置换右R模. 相似文献
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Zhang Yinhuo 《数学年刊B辑(英文版)》1991,12(2):152-156
The author concludes that every commutative ring with ascending chain condition an annihilator ideals has a Kasch quotient ring, which generalizes the Theorem^{[1]} that
every commutative noetherian ring has a Kasch quosient ring. If follows that if R is a commutative ting with acc^{\perp},then that Q(R) is semiprimary is equivalent to that it is perfect, or to that R satisfies regular condition. Besides, that Q(R) is quasi-frobenius equals that Q(R) is FPF or PF, and that Q(R) is artinian equals that R/N, are of finite dimension, i=1,2,\ldots,n. N_{i}=J^{i}\cap R. 相似文献
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《代数通讯》2013,41(8):3917-3934
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THERMAL PROBLEMS WITH RADIATION BOUNDARY CONDITIONS 总被引:1,自引:0,他引:1
GLADWELL G. M. L.; BARBER J. R.; OLESIAK Z. 《The Quarterly Journal of Mechanics and Applied Mathematics》1983,36(3):387-401
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阎舫宇 《数学物理学报(B辑英文版)》2011,31(1):207-220
We first introduce the concepts of absolutely E-pure modules and E-pure split modules. Then, we characterize the IF rings in terms of absolutely E-pure modules. The E-pure split modules are also characterized. 相似文献
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《代数通讯》2013,41(8):2629-2647
A module M is called morphic if M/M α ? ker(α) for all endomorphisms α in end(M), and a ring R is called a left morphic ring if RR is a morphic module. We consider the open question when the matrix ring Mn(R) is left morphic by relating it to when Rn is morphic as a left R-module. More generally, we investigate when M being morphic implies that end(M) is left morphic, and conversely. Finally, we relate the morphic condition to internal cancellation in the module. 相似文献
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A=Z[ν] m ' m是 Z[ν]的由ν- 1和奇素数 p生成的理想 .U是 A上的量子代数 .设 k是特征为零的代数闭域 .A→ K (ν|→ξ)是代数同态 ,并假定ξ不是 1的根或ξ是 p次本原根 .命Uk=U k A.J是 UK- Tilting模范畴 .对 λ∈ X+,M(λ)表首权为 λ的不可分解 UK- Tilting模 .本文证明了 ,对每个λ∈ X+,M(λ)作为 Uk 模是内射的当且仅当λ- (p- 1 )ρ∈ X+.我们还给出了内射 Uk模的若干充要条件 . 相似文献
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CERTAINCOMMUTATIVITYCONDITIONSFORRINGSWITHUNITYV.W.Jacob,M.AshrafandM.A.Quadri(DepartmentofMathematicsAligarhMuslimUniversit... 相似文献
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ZHANG Xicheng 《数学年刊B辑(英文版)》2005,26(4):599-610
In this paper the author constructs a solution of parabolic stochastic partial differential equation with random initial conditions by Kolmogorov's criterion. 相似文献
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本文研究非光滑区域Ω上的椭圆型方程透射问题。在Sobolev空间中,通过变分的形式,引进弱解的讨论,证明了解的存在、唯一和正则性质。 相似文献