Full article: Pure-direct-objects in categories: transfer via functors Skip to Main Content Taylor and
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We study the transfer of (dual) relative Rickart properties via functors between abelian
categories, and we deduce the transfer of (dual) relative Baer property. We also give …

We study the transfer of Baer-Kaplansky classes via additive functors between preadditive
categories. We show that the Baer-Kaplansky property is well behaved with respect to fully …

We introduce and study (dual) strongly relative Rickart objects in abelian categories. We
prove general properties, we analyze the behaviour with respect to (co) products, and we …

We show how the theory of (dual) strongly relative Rickart objects may be employed in order
to study strongly relative regular objects and (dual) strongly relative Baer objects in abelian …

We study the transfer via functors between abelian categories of the (dual) relative splitness
of objects with respect to a fully invariant short exact sequence. We mainly consider fully …

For an associative ring R, let P be an R-module with S= EndR (P). C. Menini and A. Orsatti
posed the question of when the related functor HomR (P,−)(with left adjoint P⊗ S−) induces …

A right R-module M with endomorphism ring S is called a costar module if it induces the
duality between the class of MR-torsionless right R-modules X with Hom R (X, MR) finitely …

We study the transfer of (dual) relative CS-Rickart properties via functors between abelian
categories. We consider fully faithful functors as well as adjoint pairs of functors. We give …

MoritaSimilar Matrix Rings and their Grothendieck Groups Page 1 MoritaSimilar Matrix Rings
and their Grothendieck Groups Syed. Khalid Nauman Department of Mathematics, Faculty of …