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Free R-n-modules
Authors: Iancu L.
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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.
E-mail:
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.
E-mail:
Fulltext
– 0.22 Mb
Contents
- Transversals in groups. 2. Loop transversals in a group by the same subgroup
- Free R-n-modules
- On n-modules with chain conditions
- Some linear conditions and their application to describing group isotopes
- Invertible elements in associates and semigroups, 2
- On congruences on n-ary T-quasigroups
- On TS-n-groups
- Fuzzy subquasigroups over a t-norm
