Prime ideals and strongly prime ideals of skew Laurent polynomial rings.
Prime ideals in semirings.
Prime modules.
Prime PI-rights in which finitely generated right ideals are principal.
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.
Primitivity in Differential Operator Rings.
Primitivity in skew Laurent polynomial rings and related rings.
Principal ideals in skew Polynomial rings
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.
Projective and Free Modules.
Projective covers and minimal free resolutions.
Projective modules over binary polyhedral groups.
Projective Modules over Polynomial Extensions of Division Rings.
Projective modules with Krull dimension.
Projective purities
Projectivity and flatness over the colour endomorphism ring of a finitely generated graded comodule.