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91.
92.
Daniel Ingebretson 《代数通讯》2013,41(11):4363-4377
93.
F. Wehrung 《代数通讯》2013,41(12):5893-5919
We extend the usual definition of coherence, for modules over rings, to partially ordered right modules over a large class of partially ordered rings, called po-rings. In this situation, coherence is equivalent to saying that solution sets of finite systems of inequalities are finitely generated semimodules. Coherence for ordered rings and modules, which we call po-coherence, has the following features:. (i) Every subring of Q, and every totally ordered division ring, is po-coherent. (ii) For a partially ordered right module Aover a po-coherent poring R Ais po-coherent if and only if Ais a finitely presented .R-module and A +is a finitely generated R +-semimodule. (iii) Every finitely po-presented partially ordered right module over a right po-coherent po-ring is po-coherent. (iv) Every finitely po-presented abelian lattice-ordered group is po-coherent. 相似文献
94.
Upasana Kashyap 《Journal of Functional Analysis》2009,256(11):3545-278
We prove that two dual operator algebras are weak∗ Morita equivalent in the sense of [D.P. Blecher, U. Kashyap, Morita equivalence of dual operator algebras, J. Pure Appl. Algebra 212 (2008) 2401-2412] if and only if they have equivalent categories of dual operator modules via completely contractive functors which are also weak∗-continuous on appropriate morphism spaces. Moreover, in a fashion similar to the operator algebra case, we characterize such functors as the module normal Haagerup tensor product with an appropriate weak∗ Morita equivalence bimodule. We also develop the theory of the W∗-dilation, which connects the non-selfadjoint dual operator algebra with the W∗-algebraic framework. In the case of weak∗ Morita equivalence, this W∗-dilation is a W∗-module over a von Neumann algebra generated by the non-selfadjoint dual operator algebra. The theory of the W∗-dilation is a key part of the proof of our main theorem. 相似文献
95.
We investigate the simple modules for the sporadic simple Mathieu groups M22, M23 and M24 as well as those of the automorphism group, the covering groups and the bicyclic extensions of M22 in characteristics 2 and 3. We determine the vertices and sources as well as the Green correspondents of these simple modules. We also find two 3-blocks with elementary abelian defect groups of order 9 in these groups which are Morita equivalent to their Brauer correspondents. 相似文献
96.
Steen Ryom-Hansen 《Journal of Algebraic Combinatorics》2006,23(1):5-20
We generalize Soergel's tilting algorithm to singular weights and deduce from this the validity of the Lascoux-Leclerc-Thibon
conjecture on the connection between the canonical basis of the basic submodule of the Fock module and the representation
theory of the Hecke-algebras at root of unity.
Supported in part by Programa Reticulados y Ecuaciones and by FONDECYT grant 1051024. 相似文献
97.
任意一个弱分段Koszul模M都被证明存在一个自然的分次子模链0=U0(?)U1(?)U2(?)…(?) Ut=M使得每个商Ui/Ui-1都是分段Koszul模.本文的主要目的是建立M和Ui/Ui-1的极小分次投射解之间的关系.对n≥0,证明了Pn=⊕i=1t Pni,其中P*i→Ui/Ui-1→0和P*→M→0是相应的极小分次投射解,作为其直接推论,有pd(M)=max{pd(Ui/Ui-1)}成立. 相似文献
98.
杜先能 《数学年刊A辑(中文版)》2006,(2)
本文研究形式三角矩阵环 R 的若干新性质,讨论 R-模的伪投射性,给出了形式三角矩阵环 R 是 V-环或半 V-环的充要条件.同时,给出了 R 是 PS-环的条件. 相似文献
99.
Let R be a ring. R is called right AP-injective if, for any a ∈ R, there exists a left ideal of R such that lr(a) = Ra (?) Xa. We extend this notion to modules. A right .R-module M with 5 = End(MR) is called quasi AP-injective if, for any s ∈ S, there exists a left ideal Xs of S such that ls(Ker(s)) = Ss (?) Xs. In this paper, we give some characterizations and properties of quasi AP-injective modules which generalize results of Page and Zhou. 相似文献
100.
构造相应于有限维非退化可解李代数的顶点代数 总被引:3,自引:0,他引:3
王书琴 《数学物理学报(A辑)》2006,26(B12):1008-1024
设g是带有非退化不变对称双线性型的有限维可解李代数,该文首先应用g的仿射李代数g的表示理论,构造出一类水平为l的限制g-模Vg(l,0).然后应用顶点算子的局部理论在hom(Vg(l,0),Vg(l,0)((x)))中找到一类顶点代数Lvg(l,0).建立了LVg(l,0)到Vg(l,0)的映射,最后证明了这类映射是顶点代数同构. 相似文献