A ring R is called left nil-injective if every R-homomorphism from a principal left ideal which
is generated by a nilpotent element to R is a right multiplication by an element of R. In this …

A ring R is said to be left p-injective if, for any principal left ideal I of R, any left R-
homomorphism I into R extends to one of R into itself. In this note left nonsingular left p …

A ring R is called left P-injective if for every a∈ R, aR= r (l (a)) where l (⋅) and r (⋅) denote
left and right annihilators respectively. The ring R is called left GP-injective if for any 0≠ a∈ …

A ring R is called a right Ikeda-Nakayama ring (right IN-ring) if the left annihilator of the
intersection of any two right ideals is the sum of the two left annihilators. In this paper we …

A ring R is called left NP P if for any nilpotent element a of R, l (a)= Re, e2= e∈ R. A right R−
module M is called N f lat if for each a∈ N (R), the Z− module map 1M⊗ i: M⊗ R Ra−→ M⊗ …

In this paper, we first study some characterizations of left min-abel ring, strongly left min-abel
ring and left MC2 ring. Next, we discuss and generalize some well known results for a ring …

All rings R considered in this note are associative and have an identity. A module M is a
unitary left R-module, E (M)=-E,(M) denotes its injective hull, and Ass (M) is the set of its …

A commutative ring N is said to be a Noetherian Regular δ-Near Ring if every prime ideal of
N is strongly prime. We say that a commutative Noetherian Near Ring N is Noetherian …

A ringRis said to be rightP-injective if every homomorphism of a principal right ideal toRis
given by left multiplication by an element ofR. This is equivalent to saying thatlr (a)= Rafor …

A ring R is called left quasi-morphic if, for each a∈ R, there exist b and c in R such that Ra= l
(b) and l (a)= Rc (where l (x) is the left annihilator). Every (von Neumann) regular ring is left …