Abstract
A new characterization of the radical of a submodule is presented and it is applied to give a computational method for calculating some radicals of submodules of free modules. Two examples of this method are also included.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. Jenkins and P. F. Smith, On the prime radical of a module over a commutative ring, Comm. Algebra 20(12) (1992), 3593–3602.
Chin-Pi Lu, M-radicals of submodules in modules, Math. Japonica 34, No. 2 (1989), 21–219.
Agustín Marcelo and J. Muñoz Masqué, Prime Submodules, the Descent Invariant, and Modules of Finite Length, J. Algebra 189 (1997), 273–293.
R. McCasland and M. Moore, On radicals of submodules of finitely generated modules, Canad. Math. Bull., 29 (1) (1986), 37–39.
—, On radicals of submodules, Comm. Algebra 19(5) (1991), 1327–1341.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Marcelo, A., Marcelo, F., Rodríguez, C. (1999). Effectively Computation of Some Radicals of Submodules of Free Modules. In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing CASC’99. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60218-4_22
Download citation
DOI: https://doi.org/10.1007/978-3-642-60218-4_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66047-7
Online ISBN: 978-3-642-60218-4
eBook Packages: Springer Book Archive