
StatusThe thesis was presented on the 26 March, 2010Approved by NCAA on the 3 June, 2010 Abstract– 0.33 Mb / in romanian 
The paper was drafted in Chisinau, in 2010, is written in Romanian and consists of introduction, 4 chapters, conclusions, 90 bibliography titles and 83 pages of main text. The obtained results are published in 10 scientific papers.
The thesis is dedicated to the study of: CML with minimum (resp. maximum or with finite special rank); CHquasigroups with minimum (maxumum or finite special rank) condition for subquasigroups.
The objectives of the thesis are: in the CML to consider the relationship between the maximum (minimum or finite special rang) condition for subloops and the maximum minimum or finite special rang) condition for different systems of subloops, as well as different systems of subgroups of the multiplicative group; to consider the CHquasigroups with a finite rank through different systems of subquasigroups of finite rank or different systems of subgroups of finite rank of the multiplicative group.
The following results were obtained in the thesis: for the CML
it established the equivalence between the maximum condition for
subloops and the maximum condition for different systems of subloops,
as well as for different systems of subgroups of the multiplicative
group; for the CML it established the equivalence of the finite rank
condition and finite rank condition for different systems of subloops
and for different systems of subgroups of the multiplicative group,
listed above; for the CML it obtained such a criterion that the CML
satisfies different finiteness conditions: minimum condition for subloops,
maximum condition for subloops, of finite rank; for CHquasigroups
it established the equivalence of different finiteness conditions:
minimum (maximum) condition for subquasigroups.