Arithmetical properties of finite rings and algebras, and analytic number theory. IV. Relative asymptotic enumeration and L-series.
Arithmetical properties of finite rings and algebras, and analytic number theory. III. Finite modules and algebras over Dedekind domains.
Arithmetical properties of finite rings and algebras, and analytic number theory. II.
Arithmetical quadratic surfaces of genus 0, II.
Artinische Ringe mit artinischem Radikal.
Artin-Schelter regular algebras of dimension five
We show that there are exactly three types of Hilbert series of Artin-Schelter regular algebras of dimension five with two generators. One of these cases (the most extreme) may not be realized by an enveloping algebra of a graded Lie algebra. This is a new phenomenon compared to lower dimensions, where all resolution types may be realized by such enveloping algebras.
Associated prime ideals of skew polynomial rings.
Associated primes and primal decomposition of modules over commutative rings
Let R be a commutative ring and let M be an R-module. The aim of this paper is to establish an efficient decomposition of a proper submodule N of M as an intersection of primal submodules. We prove the existence of a canonical primal decomposition, , where the intersection is taken over the isolated components of N that are primal submodules having distinct and incomparable adjoint prime ideals . Using this decomposition, we prove that for ∈ Supp(M/N), the submodule N is an intersection of -primal...
Associative and Lie algebras of quotients.
Associative rings and the Whitehead property of modules [Abstract of thesis]
Assoziative Tripelsysteme.
Asymptotic Behaviour of Colength of Varieties of Lie Algebras
This project was partially supported by RFBR, grants 99-01-00233, 98-01-01020 and 00-15-96128.We study the asymptotic behaviour of numerical characteristics of polynomial identities of Lie algebras over a field of characteristic 0. In particular we investigate the colength for the cocharacters of polynilpotent varieties of Lie algebras. We prove that there exist polynilpotent Lie varieties with exponential and overexponential colength growth. We give the exact asymptotics for the colength of a product...
Atomical Grothendieck categories.
Augmentation quotients for Burnside rings of generalized dihedral groups
Let be a finite abelian group of odd order, be its generalized dihedral group, i.e., the semidirect product of acting on by inverting elements, where is the cyclic group of order two. Let be the Burnside ring of , be the augmentation ideal of . Denote by and the th power of and the th consecutive quotient group , respectively. This paper provides an explicit -basis for and determines the isomorphism class of for each positive integer .
Auslander-Reiten components for concealed-canonical algebras
Auslander-Reiten Quivers of local orders of finite lattice type.
Auslander-Reiten triangles in derived categories.
Automorphism group of representation ring of the weak Hopf algebra
Let be the unique noncommutative and noncocommutative eight dimensional semi-simple Hopf algebra. We first construct a weak Hopf algebra based on , then we investigate the structure of the representation ring of . Finally, we prove that the automorphism group of is just isomorphic to , where is the dihedral group with order 12.
Automorphism liftable modules
We introduce the notion of an automorphism liftable module and give a characterization to it. We prove that category equivalence preserves automorphism liftable. Furthermore, we characterize semisimple rings, perfect rings, hereditary rings and quasi-Frobenius rings by properties of automorphism liftable modules. Also, we study automorphism liftable modules with summand sum property (SSP) and summand intersection property (SIP).
Automorphismen und Antiautomorphismen von Tensoralgebren.