Prime and coprime modules
Prime and semiprime rings with symmetric skew n-derivations
Let n ≥ 3 be a positive integer. We study symmetric skew n-derivations of prime and semiprime rings and prove that under some certain conditions a prime ring with a nonzero symmetric skew n-derivation has to be commutative.
Prime Ideals and Prime Radicals in Near-Rings.
Prime ideals and strongly prime ideals of skew Laurent polynomial rings.
Prime modules.
Prime rings with hypercommuting derivations on a Lie ideal
Primeness in near-rings of continuous functions. II.
Primitive Ideals in Crossed Products and Rings with Finite Group Actions.
Primitive Ideals of Certain Noetherian Algebras.
Products of derivations which act as Lie derivations on commutators of right ideals.
Projective and Free Modules.
Projektive Moduln mit endlich erzeugtem Radialfaktormodul.
Quasimodules generated by three elements
Quasi-radicals and Radicals in Categories
Quotient Rings of Right Noetherian Rings at Semi-Prime Ideals
Radical d'une algèbre symétrique à gauche
L’étude d’une algèbre symétrique à gauche (de dimension finie sur ) est liée à celle d’un groupe de transformations affines opérant avec trajectoire ouverte et groupe d’isotropie discret sur cette trajectoire. Son radical est défini grâce aux translations conservant cette trajectoire; l’algèbre est nilpotente si ce groupe opère de façon simplement transitive (les multiplications à droite sont alors nilpotentes). Le radical est le plus grand idéal à gauche nilpotent.
Radical of splitting ring extensions.
Radicals Coinciding with the Von Neumann Regular Radical on Artinian Rings.
Radicals induced by the total of rings.
Radicals of Polynomial Rings in Non-commutative Indeterminates.