Selfinjective algebras of polynomial growth.
Selfinjective and Simply Connected Algebras.
Self-injective Von Neumann regular subrings and a theorem of Pere Menal.
This paper owes its origins to Pere Menal and his work on Von Neumann Regular (= VNR) rings, especially his work listed in the bibliography on when the tensor product K = A ⊗K B of two algebras over a field k are right self-injective (= SI) or VNR. Pere showed that then A and B both enjoy the same property, SI or VNR, and furthermore that either A and B are algebraic algebras over k (see [M]). This is connected with a lemma in the proof of the Hilbert Nullstellensatz, namely a finite ring extension...
Semi-perfect and F-semi-perfect modules.
Shelah's Singular Compactness Theorem.
Simple submodules and multiplicities.
Solvable Normal Subgroups and Nilpotent Ideals in Matrix Rings.
Some embedding theorems for rings
Some necessary conditions for orders to be of finite lattice type. I.
Some necessary conditions for orders to be of finite lattice type. II.
Some Noteworthy Properties of Zero Divisors in Infinite Rings.
Some Results on Rings with Chain Conditions.
Some small-centralizer properties for rings.
Sommes directes de sous-modules co-irréductibles d'un module
Steady ideals and rings
Strong separativity over exchange rings
An exchange ring is strongly separative provided that for all finitely generated projective right -modules and , . We prove that an exchange ring is strongly separative if and only if for any corner of , implies that there exist such that and if and only if for any corner of , implies that there exists a right invertible matrix . The dual assertions are also proved.
Strong stably finite rings and some extensions.
Strongly rectifiable and S-homogeneous modules
In this paper we introduce the class of strongly rectifiable and S-homogeneous modules. We study basic properties of these modules, of their pure and refined submodules, of Hill's modules and we also prove an extension of the second Prüfer's theorem.
Strongly regular rings.
Structure of rings with certain conditions on zero divisors.