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On Some Properties of *-annihilators and *-maximal Ideals in Rings with Involution

On Some Properties of *-annihilators and *-maximal Ideals in Rings with Involution

We describe the ∗-right annihilator (∗-left anihilator) of a subset of a ring and we investigate the relationships between the right annihilator and ∗-right annihilator. These connections permit the transfer of various properties from annihilators to ∗-annihilators . It is known that the quotient ring constructed from a ring and …