Remarks on the Lie derived lengths of group algebras of groups with cyclic derived subgroup.
Remarks on the structure of the multiplicative monoid of integers modulo m.
Remarques sur le caractère algébrique du procédé pseudo-différentiel et de certaines de ses extensions (I)
Représentations de dimension finie de l’algèbre de Cherednik rationnelle
On donne une condition nécessaire et suffisante pour l’existence de modules de dimension finie sur l’algèbre de Cherednik rationnelle associée à un système de racines.
Representations of solvable Lie algebras. II. Twisted group rings
Restricted Boolean group rings
In this paper we study restricted Boolean rings and group rings. A ring is if every proper homomorphic image of is boolean. Our main aim is to characterize restricted Boolean group rings. A complete characterization of non-prime restricted Boolean group rings has been obtained. Also in case of prime group rings necessary conditions have been obtained for a group ring to be restricted Boolean. A counterexample is given to show that these conditions are not sufficient.
Rigid monomial algebras.
Ringe mit nichtkommutativer Addition I.
Rings admitting torsion injective covers
Rings consisting entirely of certain elements
We completely determine when a ring consists entirely of weak idempotents, units and nilpotents. We prove that such ring is exactly isomorphic to one of the following: a Boolean ring; ; where is a Boolean ring; local ring with nil Jacobson radical; or ; or the ring of a Morita context with zero pairings where the underlying rings are or .
Rings of differential operators over rational affine curves
Rings of skew polynomials in algebraical approach to control theory
Rings radical over P.I. subrings
Rings -radical over -subrings
Rings whose modules are finitely generated over their endomorphism rings
A module M is called finendo (cofinendo) if M is finitely generated (respectively, finitely cogenerated) over its endomorphism ring. It is proved that if R is any hereditary ring, then the following conditions are equivalent: (a) Every right R-module is finendo; (b) Every left R-module is cofinendo; (c) R is left pure semisimple and every finitely generated indecomposable left R-module is cofinendo; (d) R is left pure semisimple and every finitely generated indecomposable left R-module is finendo;...
Ring-theoretic properties of Iwasawa algebras: a survey.
Rota-type operators on 3-dimensional nilpotent associative algebras
We give the description of Rota–Baxter operators, Reynolds operators, Nijenhuis operators and average operators on 3-dimensional nilpotent associative algebras over .