On n-modules with chain conditions
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IANCU, Lacrimioara. On n-modules with chain conditions. In: Quasigroups and Related Systems, 1999, nr. 1(6), pp. 23-42. ISSN 1561-2848.
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Quasigroups and Related Systems
Numărul 1(6) / 1999 / ISSN 1561-2848

On n-modules with chain conditions

Pag. 23-42

Iancu Lacrimioara12
 
1 North University Centre of Baia Mare,
2 Université Lyon
 
 
Disponibil în IBN: 10 mai 2016


Rezumat

We show that the maximal n-submodules of an n-module are determined by the maximal n-subgroups of the n-group of its zero-idempotents and by the maximal n-submodules of its maximal n-submodule with zero. We state some results concerning R-n-modules with chain conditions analogous to the Jordan_Hölder Theorem, to Fitting's Lemma, to Krull_Remack_Schmidt Theorem.