On modules which satisfy the radical formula

Bülent Saraç; Yücel Tiraş

doi:10.3906/mat-1103-9

On modules which satisfy the radical formula

Division of Algebra and Number Theory

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, the authors prove that every representable module over a commutative ring with identity satisfies the radical formula. With this result, they extend the class of modules satisfying the radical formula from that of Artinian modules to a larger one. They conclude their work by giving a description of the radical of a submodule of a representable module.

Original language	English
Pages (from-to)	195-201
Number of pages	7
Journal	Turkish Journal of Mathematics
Volume	37
Issue number	2
DOIs	https://doi.org/10.3906/mat-1103-9
Publication status	Published - Mar 2013

Keywords

Prime radical
Prime submodule
Radical formula
Representable module
Secondary module
Secondary representation

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10.3906/mat-1103-9

Cite this

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KW - Secondary module

KW - Secondary representation

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On modules which satisfy the radical formula

Abstract

Keywords

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