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1.
HAN Yang 《中国科学A辑(英文版)》2002,45(1):29-32
It is shown that a radical square zero algebra is wild, if and only if it is of Corner’s type, and it is strictly wild if
and only if it is Endo-wild. This gives a negative answer to a problem posed by Simson. 相似文献
2.
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
3.
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
4.
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
5.
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
6.
Consider the nonparametric regression modelY=go(T)+u, whereY is real-valued,u is a random error,T is a randomd-vector of explanatory variables ranging over a nondegenerated-dimensional compact setC, andgo(·) is the unknown smooth regression function, which ism (0) times continuously differentiable and itsmth partial derivatives
satisfy the Hölder condition with exponent(0,1], wherei
1, ...,i
d
are nonnegative integers satisfying
k
=1/d
i
k
=m. The piecewise polynomial estimator ofgo based onM-estimates is considered. It is proved that the rate of convergence of the underlying estimator is
under certain regular conditions, which is the optimal global rate of convergence of least square estimates for nonparametric regression studied in [10–11].This work is partly supported by the National Natural Science Foundation of China. 相似文献
7.
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
8.
ONGLOBALASYMPTOTICSTABILITYOFTHEZEROSOLUTIONOFAGENERALIZEDLIENARD′SSYSTEMPENGLEQUNANDHUANGLIHONGAbstract:Inthispaper,westudyt... 相似文献
9.
10.
Valentin Blomer 《Mathematische Zeitschrift》2008,260(4):755-777
Let S
k
(N, χ) be the space of cusp forms of weight k, level N and character χ. For let L(s, sym2
f) be the symmetric square L-function and be the Rankin–Selberg square attached to f. For fixed k ≥ 2, N prime, and real primitive χ, asymptotic formulas for the first and second moment of the central value of L(s, sym2
f) and over a basis of S
k
(N, χ) are given as N → ∞. As an application it is shown that a positive proportion of the central values L(1/2, sym2
f) does not vanish.
The author was supported by NSERC grant 311664-05. 相似文献
11.
Alain Berlinet 《Applications of Mathematics》1999,44(2):81-96
The asymptotic behavior of global errors of functional estimates plays a key role in hypothesis testing and confidence interval building. Whereas for pointwise errors asymptotic normality often easily follows from standard Central Limit Theorems, global errors asymptotics involve some additional techniques such as strong approximation, martingale theory and Poissonization. We review these techniques in the framework of density estimation from independent identically distributed random variables, i.e., the context for which they were introduced. This will avoid the mathematical difficulties associated with more complex statistical situations in which these tools have proved to be useful. 相似文献
12.
Dalibor Pražák 《Central European Journal of Mathematics》2003,1(3):411-417
We give a necessary and sufficient condition for the existence of an exponential attractor. The condition is formulated in
the context of metric spaces. It also captures the quantitative properties of the attractor, i.e., the dimension and the rate
of attraction. As an application, we show that the evolution operator for the wave equation with nonlinear damping has an
exponential attractor. 相似文献
13.
The number of transversals in a Latin square 总被引:1,自引:0,他引:1
Brendan D. McKay Jeanette C. McLeod Ian M. Wanless 《Designs, Codes and Cryptography》2006,40(3):269-284
A Latin Square of order n is an n × n array of n symbols, in which each symbol occurs exactly once in each row and column. A transversal is a set of n entries, one selected from each row and each column of a Latin Square of order n such that no two entries contain the same symbol. Define T(n) to be the maximum number of transversals over all Latin squares of order n. We show that
for n ≥ 5, where b ≈ 1.719 and c ≈ 0.614. A corollary of this result is an upper bound on the number of placements of n non-attacking queens on an n × n toroidal chess board. Some divisibility properties of the number of transversals in Latin squares based on finite groups
are established. We also provide data from a computer enumeration of transversals in all Latin Squares of order at most 9,
all groups of order at most 23 and all possible turn-squares of order 14. 相似文献
14.
H. Nakaya 《Lithuanian Mathematical Journal》2000,40(2):156-165
We study an asymptotic formula of the DirichletL-functions in the critical strip. This is an analogy of the Atkinson-type formula for DirichletL-functions.
Published in Lietuvos Matematikos Rinkinys, Vol. 40, No. 2, pp. 201–213, April–June, 2000. 相似文献
15.
V. M. Misyakov 《Mathematical Notes》2006,79(5-6):841-847
In the paper, the notions of radical of an ideal and radical of a submodule are generalized and described. 相似文献
16.
Fabio Gavarini 《Mathematische Zeitschrift》2008,260(3):673-697
The radical of the Brauer algebra is known to be non-trivial when the parameter x is an integer subject to certain conditions (with respect to f). In these cases, we display a wide family of elements in the radical, which are explicitly described by means of the diagrams
of the usual basis of . The proof is by direct approach for x = 0, and via classical Invariant Theory in the other cases, exploiting then the well-known representation of Brauer algebras
as centralizer algebras of orthogonal or symplectic groups acting on tensor powers of their standard representation. This
also gives a great part of the radical of the generic indecomposable -modules. We conjecture that this part is indeed the whole radical in the case of modules, and it is the whole part in a
suitable step of the standard filtration in the case of the algebra. As an application, we find some more precise results
for the module of pointed chord diagrams, and for the Temperley–Lieb algebra—realised inside —acting on it.
“Ahi quanto a dir che sia è cosa dura lo radical dell’algebra di Brauer pur se’l pensier già muove a congettura” N. Barbecue, “Scholia”Partially supported by the European RTN “LieGrits”, contract no. MRTN-CT-2003-505078, and by the Italian PRIN 2005 “Moduli e teorie di Lie”. 相似文献
17.
Following Ebin and Marsden the Navier-Stokes equation is viewed as a perturbation of a geodesic flow on the group of volume preserving diffeomorphisms on a compact Riemannian manifold. Existence and uniqueness of bounded solutions for all position time is shown by taking a higher order diffusion term.Partial y supported by Alexander von Humboldt Foundation 相似文献
18.
Ján Jakubík 《Mathematica Slovaca》2008,58(6):719-738
We use the concept of generalized MV-algebra (GMV-algebra, in short) in the sense of Galatos and Tsinakis; the main tool in their investigation was a truncation construction. The relations between radical classes of GMV-algebras and radical classes of lattice ordered groups are investigated in the present paper. Further, we apply the truncation construction for dealing with weak retract mappings of GMV-algebras. This work has been partially supported by the Slovak Academy of Sciences via the project Center of Excellence — Physics of Information (Grant I/2/2005). 相似文献
19.
Alexander N. Rudy 《Central European Journal of Mathematics》2005,3(4):606-613
The paper deals with the real classical Lie algebras and their finite dimensional irreducible representations. Signature formulae
for Hermitian forms invariant relative to these representations are considered. It is possible to associate with the irreducible
representation a Hurwitz matrix of special kind. So the calculation of the signatures is reduced to the calculation of Hurwitz
determinants. Hence it is possible to use the Routh algorithm for the calculation. 相似文献
20.
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