On the structure of locally finite pure semisimple Grothendieck categories
On topologies over rings.
Order completions of semiprime rings
Ordering Epic R-Fields
Orderings and preorderings in rings with involution
The notions of a preordering and an ordering of a ring R with involution are investigated. An algebraic condition for the existence of an ordering of R is given. Also, a condition for enlarging an ordering of R to an overring is given. As for the case of a field, any preordering of R can be extended to some ordering. Finally, we investigate the class of archimedean ordered rings with involution.
Orderings on semirings.
Path coalgebras of profinite bound quivers, cotensor coalgebras of bound species and locally nilpotent representations
We prove that the study of the category C-Comod of left comodules over a K-coalgebra C reduces to the study of K-linear representations of a quiver with relations if K is an algebraically closed field, and to the study of K-linear representations of a K-species with relations if K is a perfect field. Given a field K and a quiver Q = (Q₀,Q₁), we show that any subcoalgebra C of the path K-coalgebra K◻Q containing is the path coalgebra of a profinite bound quiver (Q,), and the category C-Comod...
Remarks on epireflective subcategories of the category of topological modules.
Représentation d'anneaux principaux, non nécessairement commutatifs, séparés et complets pour la topologie de Krull
Semisimple completed group rings.
Small almost free modules with prescribed topological endomorphism rings
Some Results on Rings with Chain Conditions.
Sull'algebra degli endomorfismi di una classe di moduli ridotti e senza torsione sui domini di Dedekind
Sur les modules linéairement compacts
The abelianization of the Johnson kernel
We prove that the first complex homology of the Johnson subgroup of the Torelli group is a non-trivial, unipotent -module for all and give an explicit presentation of it as a -module when . We do this by proving that, for a finitely generated group satisfying an assumption close to formality, the triviality of the restricted characteristic variety implies that the first homology of its Johnson kernel is a nilpotent module over the corresponding Laurent polynomial ring, isomorphic to the...
The classification of compact right chain rings.
The spectral topology in rings
The spectral topology of a ring is easily defined, has familiar applications in elementary Banach algebra theory, and appears relevant to abstract Fredholm and stable range theory.
Topological Nearrings Whose Additive Groups are Euclidean.
Topological rings that generalize artinian rings.
Topologically semiperfect rings