-groups with acc on annihilators and some topological properties.
Near-rings generated by -modules.
Necklace rings and their radicals.
New characterizations of von Neumann regular rings and a conjecture of Shamsuddin.
A theorem of Utumi states that if R is a right self-injective ring such that every maximal ideal has nonzero annihilator, then R modulo the Jacobson radical J is a finite product of simple rings and is a von Neuman regular ring. We prove two theorems and a conjecture of Shamsuddin that characterize when R itself is a von Neumann ring, using a splitting theorem of the author on when the maximal regular ideal of a ring splits off.
Nil radicals in nonassociative rings
Nil right ideals in inverse semigroup algebras.
Nilpotence, radicaux et structures monoïdales
Noncommutativity and noncentral zero divisors.
Normal radicals
Normal radicals of endomorphism rings of free and projective modules
Normal structure of the adjoint group in the radical rings .
Normalizing extensions of semiprime rings.
Notes on generalized prime and coprime modules. I.
Notes on generalized prime and coprime modules. II.
Notes on generalized –derivation
Notes on radical filters of ideals
Notes on slender prime rings
If is a prime ring such that is not completely reducible and the additive group is not complete, then is slender.
Notes on -derivations.