Arithmetical properties of finite rings and algebras, and analytic number theory.
Arithmetical properties of finite rings and algebras, and analytic number theory. IV. Relative asymptotic enumeration and L-series.
Artinische Ringe mit artinischem Radikal.
Associated prime ideals of skew polynomial rings.
Assoziative Tripelsysteme.
Auslander-Reiten Quivers of local orders of finite lattice type.
Automorphismen und Antiautomorphismen von Tensoralgebren.
Automorphisms of completely primary finite rings of characteristic p
A completely primary ring is a ring R with identity 1 ≠ 0 whose subset of zero-divisors forms the unique maximal ideal . We determine the structure of the group of automorphisms Aut(R) of a completely primary finite ring R of characteristic p, such that if is the Jacobson radical of R, then ³ = (0), ² ≠ (0), the annihilator of coincides with ² and , the finite field of elements, for any prime p and any positive integer r.
Centers in domains with quadratic growth
Let F be a field, and let R be a finitely-generated F-algebra, which is a domain with quadratic growth. It is shown that either the center of R is a finitely-generated F-algebra or R satisfies a polynomial identity (is PI) or else R is algebraic over F. Let r ∈ R be not algebraic over F and let C be the centralizer of r. It is shown that either the quotient ring of C is a finitely-generated division algebra of Gelfand-Kirillov dimension 1 or R is PI.
Central extensions of three dimensional Artin-Schelter regular algebras.
Centres and Fixed-Point Rings of Artinian Rings.
Chain conditions in modular lattices
Chain conditions on semirings.
Chaînes dans l'ensemble des idempotents d'un anneau
Characterizing rings by their modules
Classes of Modules.
Classical quotient rings of generalized matrix rings.
Classification of finite rings: theory and algorithm
An interesting topic in the ring theory is the classification of finite rings. Although rings of certain orders have already been classified, a full description of all rings of a given order remains unknown. The purpose of this paper is to classify all finite rings (up to isomorphism) of a given order. In doing so, we introduce a new concept of quasi basis for certain type of modules, which is a useful computational tool for dealing with finite rings. Then, using this concept, we give structure...
Closed extensions of R-modules in the case of a semi-artinian ring R
Si considerano le estensioni chiuse di un -modulo mediante un -modulo nel caso in cui sia un anello semi-artiniano, cioè un anello con la proprietà che per ogni quoziente sia soc . Tali estensioni sono caratterizzate dal fatto che deve essere un sottomodulo semi-puro di .
Coefficient subrings of certain local rings with prime-power characteristic.