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  A generalization of semi prime indeals in γ-rings
 
 
Title: A generalization of semi prime indeals in γ-rings
Author: Groenewald, N.J.
Olivier, W.A.
Appeared in: Communications in algebra
Paging: Volume 19 (1991) nr. 12 pages 3347-3366
Year: 1991
Contents: The purpose of this paper is to generalize the concept of semi prime ideals in Γ-rings. We use a general definition of a regularity F for Γ-rings to define and F- prime ideal. Relationships between F-semi prime ideals of a Γ-ring M and F-semi prime ideals of the operator rings R and L are discussed. D-regularity, f-regularity and λ-regularity for Γ-rings are introduced and studied against the background of the concept F-semi prime ideal. Finally, D-, λ- and f-regular Γ-rings are characterized.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

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