Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On n-modules with chain conditions
Authors: Iancu L.
– 0.26 Mb
Abstract
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.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
– 0.26 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
