Slender modules, endo-slender abelian groups and large cardinals
Small almost free modules with prescribed topological endomorphism rings
Smash products for -sets, Clifford theory and duality theorems.
Smash products, group actions and group graded rings.
Sobre anillos de polinomios que son anillos de Bézout.
Solvable Normal Subgroups and Nilpotent Ideals in Matrix Rings.
Some algebraic applications of graded categorical group theory.
Some bases of the Stickelberger ideal
Some chain conditions on weak incidence algebras.
Some conditions on fixed rings.
Some constructions related to Rees matrix rings.
Some correspondences for Galois skew group rings.
Some counter-examples in the theory of the Galois module structure of wild extensions
Considering the ring of integers in a number field as a -module (where is a galois group of the field), one hoped to prove useful theorems about the extension of this module to a module or a lattice over a maximal order. In this paper it is show that it could be difficult to obtain, in this way, parameters which are independent of the choice of the maximal order. Several lemmas about twisted group rings are required in the proof.
Some examples of nil Lie algebras
Generalizing Petrogradsky’s construction, we give examples of infinite-dimensional nil Lie algebras of finite Gelfand–Kirillov dimension over any field of positive characteristic.
Some external characterizations of SV-rings and hereditary rings.
Some remarks on global dimensions for cotorsion pairs
Some remarks on the Akivis algebras and the Pre-Lie algebras
In this paper, by using the Composition-Diamond lemma for non-associative algebras invented by A. I. Shirshov in 1962, we give Gröbner-Shirshov bases for free Pre-Lie algebras and the universal enveloping non-associative algebra of an Akivis algebra, respectively. As applications, we show I. P. Shestakov’s result that any Akivis algebra is linear and D. Segal’s result that the set of all good words in forms a linear basis of the free Pre-Lie algebra generated by the set . For completeness,...
Some torsion theoretical characterizations of rings.
Spectrum of the quantized Weyl algebra. (Spectre de l'algèbre de Weyl quantique.)
Spinors in braided geometry
Let V be a ℂ-space, be a pre-braid operator and let This paper offers a sufficient condition on (σ,F) that there exists a Clifford algebra Cl(V,σ,F) as the Chevalley F-dependent deformation of an exterior algebra . If and F is non-degenerate then F is not a σ-morphism in σ-braided monoidal category. A spinor representation as a left Cl(V,σ,F)-module is identified with an exterior algebra over F-isotropic ℂ-subspace of V. We give a sufficient condition on braid σ that the spinor representation...