共查询到20条相似文献,搜索用时 15 毫秒
1.
In the paper, we introduce a wide class of domestic finite dimensional algebras over an algebraically closed field which are
obtained from the hereditary algebras of Euclidean type
, n≥1, by iterated one-point extensions by two-ray modules. We prove that these algebras are domestic and their Auslander-Reiten
quivers admit infinitely many nonperiodic connected components with infinitely many orbits with respect to the action of the
Auslander-Reiten translation. Moreover, we exhibit a wide class of almost sincere domestic simply connected algebras of large
global dimensions. 相似文献
2.
Grzegorz Bobiński Christof Geiß Andrzej Skowroński 《Central European Journal of Mathematics》2004,2(1):19-49
The main aim of the paper is to classify the discrete derived categories of bounded complexes of modules over finite dimensional
algebras. 相似文献
3.
Andrzej Skowroński 《Central European Journal of Mathematics》2003,1(1):108-122
Let A be an artin algebra over a commutative artin ring R and ind A the category of indecomposable finitely generated right A-modules. Denote
to be the full subcategory of ind A formed by the modules X whose all predecessors in ind A have projective dimension at most one, and by
the full subcategory of ind A formed by the modules X whose all successors in ind A have injective dimension at most one. Recently, two classes of artin algebras A with
co-finite in ind A, quasi-tilted algebras and generalized double tilted algebras, have been extensively investigated. The aim of the paper is
to show that these two classes of algebras exhaust the class of all artin algebras A for which
is co-finite in ind A, and derive some consequences.
Dedicated to Stanislaw Balcerzyk on the occation of his 70th birthday 相似文献
4.
In this paper, a characterization for an I(L)-topological space to be generated by a given co-tower of L-topological spaces is obtained. Moreover, the relationship between some properties of an I(L)-topological vector space generated by a co-tower of L-topological vector spaces and the corresponding properties of the given co-tower of L-topological vector spaces is investigated. Our results show that if an I(L)-topological vector space generated by a co-tower of L-topological vector spaces has some properties, such as local convexity and local boundedness, then all L-topological vector spaces in the co-tower also have the same properties. But the converse is incorrect even in the case of I-topological vector space generated by a co-tower of classical topological vector spaces. Finally, we supply a necessary and sufficient condition for an I(L)-topological vector space generated by a co-tower of L-topological vector spaces with some properties, such as local convexity and local boundedness, to have such properties too. 相似文献
5.
6.
Grzegorz BOBINSKI 《数学学报(英文版)》2007,23(6):1033-1052
The aim of the paper is to classify the indecomposable modules and describe the Auslander-Reiten sequences for the admissible algebras with formal two-ray modules. 相似文献
7.
Sergei Khoroshkin 《Annals of Global Analysis and Geometry》1992,10(1):81-86
We observe that the restriction of a Verma module over a semi-simple Lie algebra to a subalgebra of Levi type may be viewed as a projective functor. By simple arguments we prove that this restriction can be decomposed into a direct sum of standard indecomposables in the category O. For the restriction problem from sl(n+1) to gl(n) we describe the complete answer. We study the properties of the modules with Verma flag also and prove that any module with Verma flag is a submodule of some projective. 相似文献
8.
Rafał Bocian Thorsten Holm Andrzej Skowroński 《Central European Journal of Mathematics》2004,2(1):67-75
Auslander’s representation dimension measures how far a finite dimensional algebra is away from being of finite representation
type. In [1], M. Auslander proved that a finite dimensional algebra A is of finite representation type if and only if the representation dimension of A is at most 2. Recently, R. Rouquier proved that there are finite dimensional algebras of an arbitrarily large finite representation
dimension. One of the exciting open problems is to show that all finite dimensional algebras of tame representation type have
representation dimension at most 3. We prove that this is true for all domestic weakly symmetric algebras over algebraically
closed fields having simply connected Galois coverings. 相似文献
9.
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
10.
Let R be a subring ring of Q. We reserve the symbol p for the least prime which is not a unit in R; if R ?Q, then p=∞. Denote by DGL n np , n≥1, the category of (n-1)-connected np-dimensional differential graded free Lie algebras over R. In [1] D. Anick has shown that there is a reasonable concept of homotopy in the category DGL n np . In this work we intend to answer the following two questions: Given an object (L(V), ?) in DGL n 3n+2 and denote by S(L(V), ?) the class of objects homotopy equivalent to (L(V), ?). How we can characterize a free dgl to belong to S(L(V), ?)? Fix an object (L(V), ?) in DGL n 3n+2 . How many homotopy equivalence classes of objects (L(W), δ) in DGL n 3n+2 such that H * (W, d′)?H * (V, d) are there? Note that DGL n 3n+2 is a subcategory of DGL n np when p>3. Our tool to address this problem is the exact sequence of Whitehead associated with a free dgl. 相似文献
11.
Paul Popescu 《Central European Journal of Mathematics》2004,2(5):826-839
Some geometric objects of higher order concerning extensions, semi-sprays, connections and Lagrange metrics are constructed
using an anchored vector bundle.
The paper was partially supported by a 2005 MEC-CNCSIS grant. 相似文献
12.
On vector variational inequalities 总被引:11,自引:0,他引:11
In this paper, we study vector variational inequalities. The concept of weaklyC-pseudomonotone operator is introduced. By employing the Fan lemma, we establish several existence results. The new results extend and unify existence results of vector variational inequalities for monotone operators under a Banach space setting. In particular, existence results for the generalized vector complementarity problem with weaklyC-pseudomonotone operators in Banach space are obtained.This research was partially supported by the National Science Council of the Republic of China under Contract NSC 84-2121-M-110-008. 相似文献
13.
Cartan matrices of selfinjective algebras of tubular type 总被引:1,自引:0,他引:1
Jerzy Białkowski 《Central European Journal of Mathematics》2004,2(1):123-142
The Cartan matrix of a finite dimensional algebra A is an important combinatorial invariant reflecting frequently structural properties of the algebra and its module category.
For example, one of the important features of the modular representation theory of finite groups is the nonsingularity of
Cartan matrices of the associated group algebras (Brauer’s theorem). Recently, the class of all tame selfinjective algebras
having simply connected Galois coverings and the stable Auslander-Reiten quiver consisting only of stable tubes has been shown
to be the class of selfinjective algebras of tubular type, that is, the orbit algebras
/G of the repetitive algebras
of tubular algebras B with respect to the actions of admissible groups G of automorphisms of
. The aim of the paper is to describe the determinants of the Cartan matrices of selfinjective algebras of tubular type and
derive some consequences. 相似文献
14.
Huai-Xin Cao Lan Li Qing-Jiang Chen Guo-Xing Ji 《Journal of Mathematical Analysis and Applications》2008,347(2):583-591
In this paper, (p,Y)-Bessel operator sequences, operator frames and (p,Y)-Riesz bases for a Banach space X are introduced and discussed as generalizations of the usual concepts for a Hilbert space and of the g-frames. It is proved that the set of all (p,Y)-Bessel operator sequences for a Banach space X is a Banach space and isometrically isomorphic to the operator space B(X,ℓp(Y)). Some necessary and sufficient conditions for a sequence of operators to be a (p,Y)-Bessel operator sequence are given. Also, a characterization of an independent (p,Y)-operator frame for X is obtained. Lastly, it is shown that an independent (p,Y)-operator frame for X is just a (p,Y)-Riesz basis for X and has a unique dual (q,Y*)-operator frame for X*. 相似文献
15.
We associate a positive real number to any vector space K-category over a field K. Generalizing a result of Nazarova and Roiter, we show that a schurian vector space K-category is representation-finite if and only if is finite and . Such vector space categories are quasilinear, i.e. its indecomposables are simple modules over their endomorphism ring. Recently, Nazarova and Roiter introduced the concept of -faithful poset in order to clarify the structure of critical posets. Their conjecture on the precise form of -faithful posets was established by Zeldich. We generalize these results and characterize -faithful quasilinear vector space K-categories in terms of a class of hereditary algebras Hρ(D) parametrized by a skew-field D and a rational number ρ1. 相似文献
16.
Otto Kerner Andrzej Skowroński Kunio Yamagata Dan Zacharia 《Central European Journal of Mathematics》2004,2(1):103-111
The strong global dimension of a finite dimensional algebra A is the maximum of the width of indecomposable bounded differential complexes of finite dimensional projective A-modules. We prove that the strong global dimension of a finite dimensional radical square zero algebra A over an algebraically closed field is finite if and only if A is piecewise hereditary. Moreover, we discuss results concerning the finiteness of the strong global dimension of algebras
and the related problem on the density of the push-down functors associated to the canonical Galois coverings of the trivial
extensions of algebras by their repetitive algebras. 相似文献
17.
A. A. Shkalikov 《Functional Analysis and Its Applications》2007,41(2):154-167
We prove that a dissipative operator in the Krein space has a maximal nonnegative invariant subspace provided that the operator admits matrix representation with respect to the canonical decomposition of the space and the upper right operator in this representation is compact relative to the lower right operator. Under the additional assumption that the upper and lower left operators are bounded (the so-called Langer condition), this result was proved (in increasing order of generality) by Pontryagin, Krein, Langer, and Azizov. We relax the Langer condition essentially and prove under the new assumptions that a maximal dissipative operator in the Krein space has a maximal nonnegative invariant subspace such that the spectrum of its restriction to this subspace lies in the left half-plane. Sufficient conditions are found for this restriction to be the generator of a holomorphic semigroup or a C 0-semigroup. 相似文献
18.
Using the framework of ordered categories, the paper considers a generalization of the fuzzification machinery of algebraic structures introduced by Rosenfeld as well as provides a new approach to fuzzification of topological structures, which amounts to fuzzifying the underlying “set” of a structure in a suitably compatible way, leaving the structure itself crisp. The latter machinery allows the so-called “double fuzzification”, i.e., a fuzzification of something that is already fuzzified. 相似文献
19.
Kyung Soo Rim 《Journal of Mathematical Analysis and Applications》2006,324(2):1470-1477
In the p-adic vector space , we characterize those non-negative functions ψ defined on for which the weighted Hardy-Littlewood average is bounded on (1?r?∞), and on . Also, in each case, we find the corresponding operator norm ‖Uψ‖. 相似文献
20.
For a BL-algebra A we denote by Ds(A) the lattice of all deductive systems of A. The aim of this paper is to put in evidence new characterizations for the meet-irreducible elements on Ds(A). Hyperarchimedean BL-algebras, too, are characterized. 相似文献