On centrally semiprime rings with derivations
Farhad RafiqAdil Kadir
Broschiertes Buch

On centrally semiprime rings with derivations

Algebra in Mathematics

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It is known that a ring R is called a centrally semiprime ring if the localization RS of R is a semiprime ring at each central multiplicative system S of R. We prove that a semiprime ring is a centrally semiprime ring and we give an example for a centrally semiprime ring which is not semiprime and which establishes that centrally semiprime rings are generalizations of semiprime rings. The main aim of this work is to look for those properties of semiprime rings which can be extended to centrally semiprime rings and to find so many conditions under which we can do these extensions and we look fo...