An element a in a ring R is called left morphic if there exists b∈ R such that lR (a)= Rb and
lR (b)= Ra, where lR (a) denotes the left annihilator of a in R. The ring R is called left …

A ring R is called left morphic, if for every a∈ R, R/Ra ࣅ 1 (a) where 1 (a) denotes the left
annihilator of a in R. The ring R is called strongly left morphic if every matrix ring Mn (R) is …

A ring R is called “left generalized morphic” if for every element a in R, there exists b∈ R
such that l (a)≅ R/Rb, where l (a) denotes the left annihilator of a in R. The aim of this article …

An element $ a $ in a ring R is called left morphic if $$ R/Ra {\simeq_-} 1 (a) $$. A ring is
called left morphic if every element is left morphic. In this paper, an element $ a $ in a ring R …

A ring R is called left morphic if R/Ra≅ l (a) for every a∈ R. A left and right morphic ring is
called a morphic ring. If Mn (R) is morphic for all n≥ 1 then R is called a strongly morphic …

A ring R satisfies the dual of the isomorphism theorem if R/Ra≅ l (a) for all elements a of R,
where l (a) denotes the left annihilator. We call these rings left morphic. Examples include all …

An associative ring $ R $ with identity is left pseudo-morphic if for every $ a $$\in $$ R $,
there exists $ b $$\in $$ R $ such that $ Ra= l_R (b) $. If, in addition, $ l_R (a)= Rb $, then …

A ring R is called left morphic if R/Ra≅ l (a) for each a∈ R, equivalently if there exists b∈ R
such that Ra= l (b) and l (a)= Rb. In this paper, we ask only that b and c exist such that Ra= l …

For R an artinian ring and G a group, we characterize when RG is a principal ideal ring. In
the case when G is finite (and R artinian), this yields a characterization of when RG is a left …

The rings in the title are studied and related to right principally injective rings. Many
properties of these rings (called left pseudo-morphic by Yang) are derived, and conditions …