8 citations · 11 across the 6 of their papers we have counts for
6 papers
On Frattini subloops and normalizers of commutative Moufang loops
Nicolae Sandu
Let be a commutative Moufang loop (CML) with multiplication group , and let , be the Frattini subgroup and Frattini subgroup of and…
On some criterions of finiteness conditions in commutative Moufang loops
Aliona Babiy, Nicolae Sandu
The various finiteness conditions in commutative Moufang loops are characterized using the notions of centralizer of subloops and centralizer of subgroups of its multiplication gro…
The commutative Moufang loops with maximum conditions for subloops
A. Babiy, N. Sandu
It is proved that the maximum condition for subloops in a commutative Moufang loop is equivalent with the conditions of finite generating of different subloops of the loop …
About the embedding of Moufang loops in alternative algebras II
N. I. Sandu
It is known that with precision till isomorphism that only and only loops , where denotes the loop, consisting from elements of all matrix Cayley-Dicks…
The classification on simple Moufang loops
N. I. Sandu
Let be a matrix Cayley-Dickson algebra over field . By we denote the loop containing of all elements of algebra with norm 1. It is shown in this paper tha…
About the embedding of Moufang loops in alternative algebras
Nicolae Sandu
It is proved that any free Moufang loop can be embedded in a loop of invertible elements of some alternative algebra.