Turkish Journal of Mathematics
DOI
10.3906/mat-1103-9
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.
Keywords
Prime submodule, prime radical, radical formula, secondary module, secondary representation, representable module
First Page
195
Last Page
201
Recommended Citation
SARAÇ, BÜLENT and TIRAŞ, YÜCEL
(2013)
"On modules which satisfy the radical formula,"
Turkish Journal of Mathematics: Vol. 37:
No.
2, Article 1.
https://doi.org/10.3906/mat-1103-9
Available at:
https://journals.tubitak.gov.tr/math/vol37/iss2/1
