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Abstract The main objective of this thesis is to introduce some generalizations as follows:- 1. Weakly*-reversible *-rings which is a generalization of central *-reversible and *-reversible *-rings. 2. Weakly quasi-*-IFP *-rings which is a generalization of central quasi-*-IFP and quasi-*-IFP *-rings. 3. Central*-reduced *-rings which is ageneralization of *-reduced *-rings. 4. Weakly*-re exive *-rings which is a generalization of central*- reexive and *-re exive *-rings. 5. *-rigid (resp., -*-rigid) *-rings are generalizations for rigid (resp., -rigid) *-rings. 6. -*-reversible (resp., -*-Armendariz) *-rings are generalizations for *-reversible (resp., *-Armendariz) *-rings. |