We introduce and study (dual) relative F-Baer objects as specializations of (dual) relative
split objects with respect to a fully invariant short exact sequence in AB 3*(AB 3) abelian …

We introduce and investigate (dual) relative split objects with respect to a fully invariant short
exact sequence in abelian categories. We compare them with (dual) relative Rickart objects …

Fully invariant submodules play an important designation in studying the structure of some
known modules such as (dual) Rickart and (dual) Baer modules. In this work, we introduce F …

For the recently defined notion of strongly lifting modules, it has been shown that a direct
sum is not, in general, strongly lifting. In this paper we investigate the question: When are the …

Let R be a ring with identity, M be a right R-module and F be a fully invariant submodule of
M. The concept of an F-inverse split module M has been investigated recently. In this paper …

We introduce the notions of T-dual Rickart and strongly T DUAL RICKART MODULES. We
provide several characterizations and investigate properties of each of these concepts. It is …