Generalized Baer rings

presence of certain annihilator conditions, such a ring is semiprime right Goldie if and only if ere is semiprime right Goldie for all e E E, and we calculate the classical

If R is a weak right (left) PS-ring, then usual Hurwitz polynomial ring over hR.. is a weak right

Key words and phrases: Bezout ring, Hermite ring, elementary divisor ring, semihereditary ring, regular ring, neat ring, clean ring, stable range 1.... is called almost clean if

When the ring R is a right cyclically complete ring and a ∈ R is right regular, then the principal right ideals between aR and R form a finite chain under inclusion if and only if a

torsion free prime ring R is higher left centralizer of R. Also we prove every generali torsion free prime ring R is generalized higher left centralizer of R. Department

In an attempt to generalize the concept of torsion for general rings, a right R-module M is called a torsion module if Hom(M, Q) 0, where Q is Utumi’s.. ring of right quotients

In this paper, we always assume that every ring is a basic artinian ring with identity and every module is unitary.. left) hereditary if every submodule of a projective right

We show that there is a strong connection between principally quasi-Baer modules and polynomial extension, power series extension, Laurent polynomial extension, Laurent power