Prime modules.
Prime PI-rights in which finitely generated right ideals are principal.
Prime rings with hypercommuting derivations on a Lie ideal
Primeness in near-rings of continuous functions.
Primeness in near-rings of continuous functions. II.
Primitive Derivations in Free Associative Algebras.
Primitive Ideals and Orbital Integrals in Complex Classical Groups.
Primitive Ideals in Crossed Products and Rings with Finite Group Actions.
Primitive Ideals of Certain Noetherian Algebras.
Primitive Ideals of Group Algebras of Supersoluble Groups.
Primitive idempotents and the socle in group rings of periodic abelian groups
Primitive Idempotents of the Group Algebra CSL(3,q).
Primitive Near-Rings.
Primitivity in Differential Operator Rings.
Primitivity in skew Laurent polynomial rings and related rings.
Principal element lattices
Principal ideals in skew Polynomial rings
Products of derivations which act as Lie derivations on commutators of right ideals.
ℵ-products of modules and splitness.
Let0 → ∏ℵI Mα ⎯λ→ ∏I Mα ⎯γ→ Coker λ → 0 be an exact sequence of modules, in which ℵ is an infinite cardinal, λ the natural injection and γ the natural surjection. In this paper, the conditions are given mainly in the four theorems so that λ (γ respectively) is split or locally split. Consequently, some known results are generalized. In particular, Theorem 1 of [7] and Theorem 1.6 of [5] are improved.
Products of small modules
Module is said to be small if it is not a union of strictly increasing infinite countable chain of submodules. We show that the class of all small modules over self-injective purely infinite ring is closed under direct products whenever there exists no strongly inaccessible cardinal.