共查询到20条相似文献,搜索用时 0 毫秒
1.
WANG Minxiong~ LIN Yanan~.Department of Mathematics Huaqiao University Quanzhou China.Department of Mathematics Xiamen University Xiamen China 《中国科学A辑(英文版)》2005,48(1):97-106
Let T be a tilting A-module over a path algebra of Dynkin type.We prove thatif the indecomposable direct summands of T are in the different (?)-orbits of the AR-quiverof A,then T is a complete slice module. 相似文献
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Alicja Jaworska 《代数通讯》2013,41(11):3935-3947
There are considered trivial extensions of minimal 2-fundamental algebras. It is shown that if the Auslander–Reiten quiver Γ A of a minimal 2-fundamental algebra A contains a starting component or an ending component which is not generalized standard, then the Auslander–Reiten quiver Γ T(A) of the trivial extension T(A) of A contains also a component that is not a generalized standard. 相似文献
3.
Jaworska Alicja 《Central European Journal of Mathematics》2007,5(4):665-685
Trivial extensions of a certain subclass of minimal 2-fundamental algebras are examined. For such algebras the characterization
of components of the Auslander-Reiten quiver which contain indecomposable projective modules is given.
相似文献
4.
Vladimir Mazorchuk 《Compositio Mathematica》1999,115(1):21-35
We constuct and investigate a structure of Verma-like modules over generalized Witt algebras. We also prove Futorny-like theorem for irreducible weight modlues whose dimensions of the weight spaces are uniformly bounded. 相似文献
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Gena Puninski 《Proceedings of the American Mathematical Society》2004,132(7):1891-1898
We prove that over every non-domestic string algebra over a countable field there exists a superdecomposable pure-injective module.
7.
When the base connected cochain DG algebra is cohomologically bounded, it is proved that the difference between the amplitude
of a compact DG module and that of the DG algebra is just the projective dimension of that module. This yields the unboundedness
of the cohomology of non-trivial regular DG algebras.
When A is a regular DG algebra such that H(A) is a Koszul graded algebra, H(A) is proved to have the finite global dimension. And we give an example to illustrate that the global dimension of H(A) may be infinite, if the condition that H(A) is Koszul is weakened to the condition that A is a Koszul DG algebra. For a general regular DG algebra A, we give some equivalent conditions for the Gorensteiness.
For a finite connected DG algebra A, we prove that Dc(A) and Dc(A
op) admit Auslander-Reiten triangles if and only if A and A
op are Gorenstein DG algebras. When A is a non-trivial regular DG algebra such that H(A) is locally finite, Dc(A) does not admit Auslander-Reiten triangles. We turn to study the existence of Auslander-Reiten triangles in Dlfb(A) and Dlfb (A
op) instead, when A is a regular DG algebra.
This work was supported by the National Natural Science Foundation of China (Grant No. 10731070) and the Doctorate Foundation
of Ministry of Education of China (Grant No. 20060246003) 相似文献
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Yue-hui ZHANG~ 《中国科学A辑(英文版)》2007,50(8):1129-1140
Let A be a monomial quasi-hereditary algebra with a pure strong exact Borel subalgebra B.It is proved that the category of induced good modules over B is contained in the category of good modules over A;that the characteristic module of A is an induced module of that of B via the exact functor-(?)_B A if and only if the induced A-module of an injective B-module remains injective as a B-module.Moreover,it is shown that an exact Borel subalgebra of a basic quasi-hereditary serial algebra is right serial and that the characteristic module of a basic quasi-hereditary serial algebra is exactly the induced module of that of its exact Borel subalgebra. 相似文献
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In this paper, a class of generalized Verma modules M(V) over some Block type Lie algebra ℬ(G) are constructed, which are induced from nontrivial simple modules V over a subalgebra of ℬ(G). The irreducibility of M(V) is determined.
相似文献
11.
Limeng XIA 《Frontiers of Mathematics in China》2020,15(3):593
For all generic , when g is not of type A1; we prove that the quantum toroidal algebra Uq(gtor) has no nontrivial finite dimensional simple module. 相似文献
12.
本文研究了2-Calabi-Yau三角范畴上的2-Calabi-Yau tilted代数的almost complete tilting模.我们利用2-Calabi-Yau三角范畴上的交换关系给出了2-Calabi-Yau tilted代数的almost complete tilting模有两个(Bongartz)补的一系列充分必要条件. 相似文献
13.
Grzegorz Bobinski 《Transactions of the American Mathematical Society》2008,360(2):717-742
We classify canonical algebras such that for every dimension vector of a regular module the corresponding module variety is normal (respectively, a complete intersection). We also prove that for the dimension vectors of regular modules normality is equivalent to irreducibility.
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Hiroki Abe 《代数通讯》2017,45(9):3917-3928
We construct a diagram between the endomorphism algebra of a two-term projective module complex over a self-injective algebra and the endomorphism algebras of its homology groups and apply the diagram to the tilting theory of self-injective algebras. We give an example of recovering the endomorphism algebra of a two-term tilting complex over a self-injective algebra from the endomorphism algebras of its homology groups with some additional structures which appear in the diagram. 相似文献
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Simply connected algebras of polynomial growth 总被引:2,自引:0,他引:2
ANDRZEJ SKOWROŃSKI 《Compositio Mathematica》1997,109(1):99-133
The representation theory of polynomial growth strongly simply connected finite dimensional algebras over an algebraically closed field is established. 相似文献
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For a finite free and projective EI category, we prove that Gorenstein-projective modules over its category algebra are closed under the tensor product if and only if each morphism in the given category is a monomorphism. 相似文献
19.
Nan GAO 《数学年刊B辑(英文版)》2009,30(3):231-238
The relative transpose via Gorenstein projective modules is introduced, and some corresponding results on the Auslander-Reiten sequences and the Auslander-Reiten formula to this relative version are generalized. 相似文献
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