RO  EN
IMI/Publicaţii/QRS/Ediţii/QRS v.6, n.1 (6), 1999/

Free R-n-modules

Authors: Iancu L.

Abstract

We defne the canonical presentation of an R-n-module, in terms of its largest n-submodule with zero and of an idempotent commutative n-group. We give a construction for the free R-n-module with zero, as well as a canonical presentation for the free R-n-module. We give the number of zero-idempotents of a finitely generated free R-n-module. The last theorem states that, for n > 3, free R-nmodules are isomorphic if and only if their free generating sets have the same cardinality.

Iancu L.
North University of Baia Mare,
Victoriei 7,
RO-4800 Baia Mare,
Romania.
E-mail:
__________________________________
current address:
Institut Girard Desargues,
Bat. 101, Université Lyon 1,
43 Bd du 11 Novembre 1918,
F-69622 Villeurbanne Cedex,
France.
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