Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1103-9
Keywords
Prime submodule, prime radical, radical formula, secondary module, secondary representation, representable module
First Page
195
Last Page
201
Recommended Citation
SARAÇ, B, & TIRAŞ, Y (2013). On modules which satisfy the radical formula. Turkish Journal of Mathematics 37 (2): 195-201. https://doi.org/10.3906/mat-1103-9
