On pure global dimension of locally finitely presented Grothendieck categories
On pure semi-simple Grothendieck categories I
On pure semi-simple Grothendieck categories II
On pure semisimplicity and representation-finite piecewise prime rings
On purity and quasi-equality of Abelian groups.
On quasi -pure submodules of QTAG-modules.
On quasi-ideals and bi-ideals in ternary semirings.
On quasi-ideals in contracted semigroups rings.
On quasi-ideals of semirings.
On Quasi-Injectivity and von Neumann Regularity.
On quasitilted algebras which are one-point extensions of hereditary algebras
Quasitilted algebras have been introduced as a proper generalization of tilted algebras. In an earlier article we determined necessary conditions for one-point extensions of decomposable finite-dimensional hereditary algebras to be quasitilted and not tilted. In this article we study algebras satisfying these necessary conditions in order to investigate to what extent the conditions are sufficient.
On quotient rings
On radical rings
On reducible and decomposable representations of orders.
On reflexivity of representations of local Commutative Algebras
On regular elements in an incline.
On regular endomorphism rings of topological Abelian groups
We extend a result of Rangaswamy about regularity of endomorphism rings of Abelian groups to arbitrary topological Abelian groups. Regularity of discrete quasi-injective modules over compact rings modulo radical is proved. A characterization of torsion LCA groups for which is regular is given.
On regular presheaves and regular semi-categories
On regular rings
On Regular Rings and Self-Injective Rings.