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Artinian dimension and isoradical of modules
- Publication Year :
- 2017
- Publisher :
- Academic Press Inc., 2017.
-
Abstract
- This paper is a continuation of our previous article [9] . We introduce an “artinian dimension” of modules, which allows us to study isoartinian modules, and an “isoradical” of a module, which is the analogue of the (Jacobson) radical of a module. We study the modules generated by isosimple submodules, and modules of finite I-length, which are analogous to modules of finite composition length.
- Subjects :
- Artinian modules
Pure mathematics
Radical of a module
Dimensions of modules
Algebra and Number Theory
Composition series
Mathematics::Rings and Algebras
010102 general mathematics
Free module
010103 numerical & computational mathematics
01 natural sciences
Injective module
Chain conditions
Algebra
Dimension (vector space)
Semisimple module
Projective module
0101 mathematics
Simple module
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....1da91494a8e1a4cc398941d136e56bdd