set algebra meaning in Hindi

Examples

1. A ?-algebra specializes the concept of a set algebra.
2. To go beyond power set algebras we need another construct.
3. Unlike the situation with CABAs however, the free countably generated sigma algebra is not a power set algebra.
4. Infinite subsets of a Boolean algebra may or may not have a sup and / or an inf; in a power set algebra they always do.
5. All Boolean algebras we have exhibited thus far have been direct powers of the two-element Boolean algebra, justifying the name " power set algebra ".
6. This representation theorem does not extend to infinite Boolean algebras : although every power set algebra is a Boolean algebra, not every Boolean algebra need be isomorphic to a power set algebra.
7. This representation theorem does not extend to infinite Boolean algebras : although every power set algebra is a Boolean algebra, not every Boolean algebra need be isomorphic to a power set algebra.
8. At the beginning Hausdorff sets forth a detailed set algebra with some pioneering new concepts ( differences chains, set rings and set fields, \ delta-and \ sigma-systems ).
9. The same choice exists for finite power set algebras as the duals of finite sets : addition yields Boolean algebras as inductive objects while multiplication yields CABAs or power set algebras as profinite objects.
10. The same choice exists for finite power set algebras as the duals of finite sets : addition yields Boolean algebras as inductive objects while multiplication yields CABAs or power set algebras as profinite objects.