A module M is called (strongly) F I-extending if every fully invariant submodule of M is
essential in a (fully invariant) direct summand of M. A ring R with unity is called quasi-Baer if …

Ever since their introduction, skew PBW ($ Poincar {\acute {e}} $-Birkhoff-Witt) extensions of
rings have kept growing in importance, as researchers characterized their properties (such …

The notion of a direct summand of a ring containing the set of nilpotents in some “dense”
way has been considered by Y. Utumi, L. Jeremy, C. Faith, and GF Birkenmeier. Several …

A ring R with unity is called a (quasi-) Baer ring if the left annihilator of every (left ideal)
nonempty subset of R is generated (as a left ideal) by an idempotent. Armendariz has shown …

For a ring R, we investigate and determine “minimal” right essential overrings (right ring
hulls) belonging to certain classes which are generated by R and subsets of the central …

We give a complete characterization of a certain class of quasi-Baer rings which have a
sheaf representation (by a “sheaf representation” of a ring the authors mean a sheaf …

Let R be a ring with a monomorphism α and an α-derivation δ. We introduce (α, δ)-weakly
rigid rings which are a generalisation of α-rigid rings and investigate their properties. Every …

In the present note, we continue the study of skew inverse Laurent series ring R ((x− 1; α, δ))
and skew inverse power series ring R [[x− 1; α, δ]], where R is a ring equipped with an …

Let R be a ring and S a cancellative and torsion–free monoid and≤ a strict order on S. If
either (S,≤) satis. es the condition that 0≤ s for all s∈¸ S, or R is reduced, then the ring …

A ring R is called (left principally) quasi-Baer if the left annihilator of every (principal) left
ideal of R is generated by an idempotent. We show that if R is (left principally) quasi-Baer …