of the Riemann zeta function and its derivatives 45:23 Fourier optimization and the least quadratic non-residue 51:44 NICOLE RAULF_ ASYMPTOTICS OF CLASS NUMBERS 44:25 Projective Planes and Hadamard Matrices 51:01 SPINAL OPEN BOOKS AND SYMPLECTIC FILLINGS OF CONTACT 3-MANIFOLDS 1:19:17 Sums of ...
We study the truncation functors and show the existence of projective cover with a finite Verma flag of each irreducible module in parabolic BGG category O over infinite rank Lie algebra of types a,b,c,d. Moreover, O is a Koszul category. As a consequence, the corresponding parabolic BGG ...
For an arbitrary R the authors construct a right self-injective regular ring V as being the ring of endomorphisms of the pure-injective envelope of the module R R modulo its Jacobson radical, and a ring homomorphism R→V. Using this, they prove that there exists a ring homomorphism of R...
Projective modules over free groups are free In this paper we show that if A is an affine algebra of dimension n over an algebraically closed field, then each stably free module whose rank is greater than or equal to n is free. We also obtain some results on orbits of unimodular ro......
Classandrankofdifferentialmodules 系统标签: modulesrankdifferentialerentialcommutativeendomorphism arXiv:math/0602344v3[math.AC]25Jan2007CLASSANDRANKOFDIFFERENTIALMODULESLUCHEZARL.AVRAMOV,RAGNAR-OLAFBUCHWEITZ,ANDSRIKANTHIYENGARAbstract.Adifferentialmoduleisamoduleequippedwithasquare-zeroendomorphism.Thisstructureunderpi...
Torsion-free abelian groups of finite rank projective as modules over their endomorphism rings Since Richman and Walker [4] characterized modules over PID's which are injective as modules over their endomorphism rings, various homological properties of abelian groups as modules over their endomorphism ...
Resolution of embedded chromatographic peaks by sequential rank analysis of the first-order differentiated elution profile in the ti...On the first cohomology module of rank two vector bundles on projective space.Evolution Kinetics of Hydrogen Generation from Low Rank Coal Pyrolysis and Its Relation ...
Fitting ideals and finite projective dimension Throughout (T,,k) denotes a commutative noetherian local ring with maximal ideal and residue field k. Let IT be an ideal generated by a regular sequence of length c and R:=T/I. Let M be a finitely generated R-module and denote by Fitt T....
On the genus and Hartshorne-Rao module of projective curves 2. Bounds for the cohomology In this section we establish estimates for the first and second cohomology of a curve C. Note that in =-=[5]-=-, ... Nadia,Chiarli,Silvio,... - 《Mathematische Zeitschrift》 被引量: 50发表: 1998...
Then Sections 6, 7, 8, 9 and 10 look at the cases when X is, respectively, a projective symplectic group, a projective special linear or unitary group, a projective orthogonal group, an exceptional group and a sporadic simple group. While Section 4, in addition to containing some back...