Rings in which ideals are annihilators
Rings radical over P.I. subrings
Rings -radical over -subrings
Rings satisfying a certain idempotency condition
Rings with a finite set of nonnilpotents.
Rings with Radical Maximal Submodules.
Rings without Nilpotent Elements
Semigroups and rings whose proper one-sided ideals are power joined
Semiprime ideals and irreducible ideals of -semirings.
Semiprime rings with nilpotent Lie ring of inner derivations
We give an elementary and self-contained proof of the theorem which says that for a semiprime ring commutativity, Lie-nilpotency, and nilpotency of the Lie ring of inner derivations are equivalent conditions
Semiprime SF-rings whose essential left ideals are two-sided.
Sheaves of semiprime ideals
Skew derivations and the nil and prime radicals
We examine when the nil and prime radicals of an algebra are stable under q-skew σ-derivations. We provide an example which shows that even if q is not a root of 1 or if δ and σ commute in characteristic 0, then the nil and prime radicals need not be δ-stable. However, when certain finiteness conditions are placed on δ or σ, then the nil and prime radicals are δ-stable.
Skew derivations of prime rings.
Some conditions on fixed rings.
Some epimorphic regular contexts.
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 graded radicals of graded rings.
Some notes on upper radical classes
Some Noteworthy Properties of Zero Divisors in Infinite Rings.