共查询到19条相似文献,搜索用时 62 毫秒
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环的左自由正规化扩张和拟Excellent扩张 总被引:1,自引:0,他引:1
本文引进了环的左自由正规化扩张和拟Excelent扩张,并将环的Excelent扩张的一些性质推广到了左自由正规化扩张和拟Excelent扩张,主要讨论了几乎Noether性,正则性,凝聚性和半遗传性. 相似文献
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本文给出了代数A与双代数H的Smash积AH是A的超限左自由正规化扩张的一个充分条件.进一步,主要结果被运用到斜半群环、斜群环和量子群Uq(sl(2))从而给出了它们的一些性质. 相似文献
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在一般复Banach空间的单位球上引入正规化全纯映照族Mg,考虑满足条件(Df(x))-f(x)∈M9的正规化局部双全纯映照f(其中x=0是f(x)-x的k+1阶零点)并得到其增长和掩盖定理.所得结果统一和推广了许多已知结论. 相似文献
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在这篇文章里,我们证明了,当环S是R的excellent扩张,M是S-模时,M做为S-模的弱维数与M做为R-模的弱维数相等。 相似文献
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Let RCS be a semidualizing(R,S)-bimodule.Then RCS induces an equiv-alent between the Auslander class AC(S)and the Bass class BC(R).Let A and B be free normalizi... 相似文献
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Karl A. Kosler 《代数通讯》2013,41(10):3751-3759
Fully semiprimary Noetherian bimodules and their bimodule extensions are examined. In the presence of incomparability of the link graph of prime ideals, certain bimodule extensions preserve the fully semiprimary property. In particular, a finite normalizing extension ring of a fully semiprimary Noetherian ring is also fully semiprimary as a bimodule over the base ring. It is shown that the extension ring is itself a fully semiprimary ring. An application to crossed products over finite groups is given. 相似文献
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设R■A是环的Frobenius扩张,其中A是右凝聚环,M是任意左A-模.首先证明了_AM是Gorenstein平坦模当且仅当M作为左R-模也是Gorenstein平坦模.其次,证明了Nakayama和Tsuzuku关于平坦维数沿着Frobenius扩张的传递性定理的"Gorenstein版本":若_AM具有有限Gorenstein平坦维数,则Gfd_A(M)=Gfd_R(M).此外,证明了若R■S是可分Frobenius扩张,则任意A-模(不一定具有有限Gorenstein平坦维数),其Gorenstein平坦维数沿着该环扩张是不变的. 相似文献
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《代数通讯》2013,41(11):5525-5551
Abstract We obtain cohomological δ-functors and a five term exact sequence associated to an extension of crossed modules which yields Eilenberg-MacLane cohomology theory and the classic five term exact sequence associated to an extension of groups, when we consider the particular situation of groups. 相似文献
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In this paper, we study the closeness of strongly (∞)-hopfian properties under some constructions such as the ring of Morita context, direct products, triangular matrix, fraction ring etc. Also, we prove that if M[X] is strongly hopfian (resp. strongly co-hopfian) in R[X]-Mod, then M is strongly hopfian (resp. strongly co-hopfian) in R-Mod. 相似文献
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Justyna Kosakowska 《Algebras and Representation Theory》2006,9(6):557-568
Let be an algebraically closed field and let be a finite partially ordered set of finite prinjective type. We study generic extensions of prinjective modules over the incidence -algebra of . We prove that there exist generic extensions of prinjective -modules and describe properties of the monoid of generic extensions.Partially supported by Polish KBN Grant 5 P0 3A 015 21. 相似文献
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We classify the precrossed module central extensions using the second cohomology group of precrossed modules. We relate these central extensions to the relative central group extensions of Loday, and to other notions of centrality defined in general contexts. Finally we establish a Universal Coefficient Theorem for the (co)homology of precrossed modules, which we use to describe the precrossed module central extensions in terms of the generalized Galois theory developed by Janelidze. 相似文献
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i)设Mi为一族左R-模,记Mi为Mi的最大有理扩张,本文首先考察了∑⊕Mi和∑⊕Mi之间的关系,并证明了如对环R上任何一族模上述两者相等的充要条件是环R上每一个模都有理完全.i)利用i)研究了无零因子环上模的最大有理扩张,得到了一些结果. 相似文献