On Socle Chains of Semiartinian Rings with Primitive Factors Artinian

Abstract

The dimension sequence forms an invariant describing semisimple slices of regular semiartinian rings with primitive factors artinian. Several necessary conditions on dimension sequences are proved under assumption GCH in the paper.

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Keywords

• Socle
• Chains
• Semiartinian
• Rings
• with
• Primitive
• Factors
• Artinian