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Tue, 16 May 2006 13:08:47 +0200Tue, 16 May 2006 13:08:47 +0200Functions preserving 2-series strict orders
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1737
In recent years a considerable attention was paid to an investigation of finite orders relative to different properties of their isotone functions [2,3]. Strict order relations are defined as strict asymmetric and transitive binary relations. Some algebraic properties of strict orders were already studied in [6]. For the class K of so-called 2-series strict orders we describe the partially ordered set EndK of endomorphism monoids, ordered by inclusion. It is obtained that EndK possesses a least element and in most cases defines a Boolean algebra. Moreover, every 2-series strict order is determined by its n-ary isotone functions for some natural number n.Rainer Lenzpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1737Tue, 16 May 2006 13:08:47 +0200Isotone mappings of levelled strict orders
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1736
Strict order relations are defined as strict asymmetric and transitive binary relations. For classes of so-called levelled strict orders it is analyzed, under which conditions the endomorphism monoids of two relations coincide; in particular the case of direct sums of strict antichains is studied. Further, it is shown that these orders differ in their sets of binary order preserving functions.Rainer Lenzpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1736Tue, 16 May 2006 13:08:21 +0200Calorische Restriktion und Lebenserwartung - Ein mathematisches Modell
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1591
Caloric Restriction (CR) is the only intervention proven to retard aging and extend maximum lifespan in mammalians. A possible mechanism for the beneficial effects of CR is that the mild metabolic stress associated with CR induces cells to express stress proteins that increase their resistance to disease processes. In this article we therefore model the retardation of aging by dietary restriction within a mathematical framework. The resulting model comprises food intake, stress proteins, body growth and survival. We successfully applied our model to growth and survival data of mice exposed to different food levels.Joachim Türkpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1591Fri, 10 Dec 2004 13:04:32 +0100Rank two Cohen-Macaulay modules over singularities of type .....
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1467
We describe, by matrix factoizations, all the rank two maximal Cohen-Macauly modules over singularities of type ......Corina Baciu; Vivian Ene; Gerhard Pfister; Dorin Popescupreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1467Thu, 22 Jan 2004 10:18:48 +0100Maximal Cohen-Macaulay Modules over a Non-Isolated Hypersurface Singularity
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1444
Corina Baciupreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1444Mon, 03 Nov 2003 14:50:59 +0100Theoretische Alternsmechanismen II
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1423
Joachim Türkpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1423Thu, 11 Sep 2003 11:07:26 +0200Hyperquasivarieties
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1424
We consider the notion of hyper-quasi-identities and hyperquasivarieties, as a common generalization of the concept of quasi-identity and quasivariety invented by A.I. Mal'cev, cf. [10], cf. [5] and hypervariety invented by the authors in [6].Ewa Graczynska; Dietmar Schweigertpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1424Sat, 30 Aug 2003 17:30:49 +0200Hochschild- and Cyclic-Homology of LCNT-Spaces
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1422
We define a class of topological spaces (LCNT-spaces) which come together with a nuclear Frechet algebra. Like the algebra of smooth functions on a manifold, this algebra carries the differential structure of the object. We compute the Hochschild homology of this object and show that it is isomorphic to the space of differential forms. This is a generalization of a result obtained by Alain Connes in the framework of smooth manifolds.Christian Ewaldpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1422Wed, 20 Aug 2003 20:35:41 +0200Theoretische Alternsmechanismen I
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1395
n.V.J. Türkpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1395Mon, 26 May 2003 10:42:07 +0200Geometrical Properties of Sections of Buchsbaum-Rim Sheaves or How to Construct Gorenstein Schemes of Higher Codimension with SINGULAR
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1392
Igor Burban; Hans Georg Freiermuthpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1392Sat, 10 May 2003 16:21:53 +0200Morozov's Discrepancy Principle Under General Source Conditions
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1343
In this paper we study linear ill-posed problems Ax = y in a Hilbert space setting where instead of exact data y noisy data y^delta are given satisfying |y - y^delta| <= delta with known noise level delta. Regularized approximations are obtained by a general regularization scheme where the regularization parameter is chosen from Morozov's discrepancy principle. Assuming the unknown solution belongs to some general source set M we prove that the regularized approximation provides order optimal error bounds on the set M. Our results cover the special case of finitely smoothing operators A and extends recent results for infinitely smoothing operators.M. Thamban Nair; Eberhard Schock; Ulrich Tautenhahnpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1343Thu, 29 Aug 2002 00:00:00 +0200An economic approach to discretization of nonstationary iterated Tikhonov method
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1277
An adaptive discretization scheme of ill-posed problems is used for nonstationary iterated Tikhonov regularization. It is shown that for some classes of operator equations of the first kind the proposed algorithm is more efficient compared with standard methods.Sergei G. Solodkypreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1277Tue, 05 Feb 2002 00:00:00 +0100On Simpson Moduli Spaces of Stable Sheaves on P_2 with Linear Hilbert Polynomial
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1280
In this short note we prove some general results on semi-stable sheaves on P_2 and P_3 with arbitrary linear Hilbert polynomial. Using Beilinson's spectral sequence, we compute free resolutions for this class of semi-stable sheaves and deduce that the smooth moduli spaces M_{r m + s}(P_2) and M_{r m + r - s}(P_2) are birationally equivalent if r and s are coprime.Hans Georg Freiermuthpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1280Tue, 08 Jan 2002 00:00:00 +0100Unde tales melancholici sunt, et optimi fiunt mathematici (H. v. Gent) Zur Interaktion von Mathematik und Melancholie
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1263
Knut Radbruchpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1263Tue, 20 Nov 2001 00:00:00 +0100Didaktik der Mathematik im deutschen Barock
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1255
Knut Radbruchpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1255Wed, 10 Oct 2001 00:00:00 +0200Homological Mirror Symmetry in Dimension One
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1254
In this paper we complete the proof began by A. Polishchuk and E. Zaslow of a weak version of Kontsevich's symmetry conjecture for elliptic curves.Bernd Kreusslerpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1254Fri, 07 Sep 2001 00:00:00 +0200Presentation of power-ordered sets
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1259
Power-ordered sets are not always lattices. In the case of distributive lattices we give a description by disjoint of chains. Finite power-ordered sets have a polarity. We introduct the leveled lattices and show examples with trivial tolerance. Finally we give a list of Hasse diagrams of power-ordered sets.Dietmar Schweigertpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1259Fri, 07 Sep 2001 00:00:00 +0200The finite-section approximation for ill-posed integral equations on the half-line
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1260
Integral equations on the half of line are commonly approximated by the finite-section approximation, in which the infinite upper limit is replaced by apositie number called finite-section parameter. In this paper we consider the finite-section approximation for first kind intgral equations which are typically ill-posed and call for regularization. For some classes of such equations corresponding to inverse problems from optics and astronomy we indicate the finite-section parameters that allows to apply standard regularization techniques. Two discretization schemes for the finite-section equations ar also proposed and their efficiency is studied.Sergei Pereverzev; Eberhard Schockpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1260Fri, 07 Sep 2001 00:00:00 +0200Maximal Cohen-Macaulay Modules over the Cone of an Elliptic Curve
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1261
Radu Laza; Gerhard Pfister; Popescu Dorinpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1261Fri, 07 Sep 2001 00:00:00 +0200Derived Tameness of some Associative Algebras
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1262
In this article we propose a new method to deal with the derived categories of some semi-perfect k-algebras. This method gives us a unifying description of the derived categories of a branch class of algebras such as gentle algebras, some lannish algebras, of the Gelfand quiver etc.Igor Burban; Yuriy Drozdpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1262Fri, 07 Sep 2001 00:00:00 +0200Construction of Moduli Spaces for Space Curve Singularities of Multiplicity 3
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1257
Anne Frühbis-Krügerpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1257Thu, 31 May 2001 00:00:00 +0200Kryptanalyse der Verschlüsselungsalgorithmen der Microsoft Word Versionen 2.0-7.0
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1258
Roland Fiat; Andreas Guthmann; Georg Kuxpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1258Thu, 31 May 2001 00:00:00 +0200Moduli spaces for torsion free modules on curve singularities I
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/804
Gert-Martin Greuel; Gerhard Pfisterarticlehttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/804Mon, 03 Apr 2000 00:00:00 +0200Deformationen isolierter Kurvensingularitäten mit eingebetteten Komponenten
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/802
Christian Brücker; Gert-Martin Greuelpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/802Mon, 03 Apr 2000 00:00:00 +0200On moduli spaces of semiquasihomogeneous singularities
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/805
Gert-Martin Greuel; Gerhard Pfisterpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/805Mon, 03 Apr 2000 00:00:00 +0200