Characterisation of two-sided PF-rings

Two-Sided Properties of Elements in Exchange Rings

For any element a in an exchange ring R, we show that there is an idempotent e ∈ aR ∩ Ra such that 1 − e ∈ (1 − a)R ∩ R (1 − a). A closely related result is that a ring R is an exchange ring if and only if, for every a ∈ R, there exists an idempotent e ∈ Ra such that 1− e ∈ (1−a)R. The Main Theorem of this paper is a general two-sided statement on exchange elements in arbitrary rings which subs...

On One-Sided Ideals of Rings of Linear Transformations

two- sided power distribution

In this paper, a new family of distributions with many applications in financial engineering have been introduced. This distribution contains important statistical distributions such as the triangular, exponential and uniform distribution. Initially considered a special case of this distribution And then survey The important features of it. How to calculate maximum likelihood estimates are pres...

Linear preservers of two-sided matrix majorization

For vectors X, <span style="fon...

on one-sided ideals of rings of linear transformations