Über die Vollständigkeit induktiver Gruppoide, die zu einer speziellen Klasse endlicher Ringe gehören
Über diskret fastbewertete perfekte Ringe und die Arithmetik der Hauptordnungen in Algebren.
Über G-galoissche Erweiterungen einfacher Ringe.
Über Ringe mit auflösbaren assoziierten Lie-Ringen
Über Ringe mit Kommutatorbeziehungen
Über schwach hyperzentrale Ringe
Ultraproduits gradués. Applications.
Dans ce travail sont définis les ultraproduits d'anneaux et de modules gradués. L'ultraproduit gradué coïncide dans le case d'une famille Ri[X1, ..., Xn], i ∈ I, d'anneaux de polynômes avec le sousanneau d'éléments génerés dans l'ultraproduit usuel par les familles de polynômes de degré total borné.Nous démonstrons que l'ultraproduit d'une famille de modules gradués libres, qui verifie une condition naturelle de finitude et aussi un module gradué libre (Théorème 2.2). Après un étude de l'arithmétique...
Uniqueness of decomposition of pseudo-Riemannian superalgebras
This paper is primarily concerned with pseudo-Riemannian superalgebras, which are superalgebras endowed with pseudo-Riemannian non-degenerate supersymmetric consistent bilinear forms. Decompositions of pseudo-Riemannian superalgebras whose left centers are isotropic and whose left centers are not isotropic are investigated.
Unit-regularity and representability for semiartinian -regular rings
We show that any semiartinian -regular ring is unit-regular; if, in addition, is subdirectly irreducible then it admits a representation within some inner product space.
Unterringtheorie-exemplifiziert an Ringen mit Involution
Valuations and group algebras
Vanishing power values of commutators with derivations.
Vanishing power values of commutators with derivations on prime rings.
Vers une notion de dérivation fonctionnelle causale
Weak Baer modules over graded rings
In [2], Fuchs and Viljoen introduced and classified the -modules for a valuation ring R: an R-module M is a -module if for each divisible module X and each torsion module X with bounded order. The concept of a -module was extended to the setting of a torsion theory over an associative ring in [14]. In the present paper, we use categorical methods to investigate the -modules for a group graded ring. Our most complete result (Theorem 4.10) characterizes -modules for a strongly graded ring R...
Weak dimension of group-graded rings.
We study the weak dimension of a group-graded ring using methods developed in [B1], [Q] and [R]. We prove that if R is a G-graded ring with G locally finite and the order of every subgroup of G is invertible in R, then the graded weak dimension of R is equal to the ungraded one.
Weak Polynomial Identities for M1,1(E)
* Partially supported by Universita` di Bari: progetto “Strutture algebriche, geometriche e descrizione degli invarianti ad esse associate”.We compute the cocharacter sequence and generators of the ideal of the weak polynomial identities of the superalgebra M1,1 (E).
Weighted -core inverses in rings
Let be a unital -ring. For any we define the weighted -core inverse and the weighted dual -core inverse, extending the -core inverse and the dual -core inverse, respectively. An element has a weighted -core inverse with the weight if there exists some such that , and . Dually, an element has a weighted dual -core inverse with the weight if there exists some such that , and . Several characterizations of weighted -core invertible and weighted dual -core invertible...
Weitzenböck Derivations and Classical Invariant Theory: I. Poincaré Series
2000 Mathematics Subject Classification: 13N15, 13A50, 16W25.By using classical invariant theory approach, formulas for computation of the Poincaré series of the kernel of linear locally nilpotent derivations are found.
When are induction and coinduction functors isomorphic?