Type of Family Sets With Some of the their Properties

Abstract

n this work, we introduced new concepts in rings and fields such as (α- ring is α-σ-ring and β-

σ-ring is β-ring ) and studied the properties of each of them and the relationships between them, in

addition to that, the relationships between these concepts and the previous concepts, and we studied a

previous one by developing a new definition λ – system to get some results that deal with these definitions

used [see 7].