English

The commutative Moufang loops with maximum conditions for subloops

Rings and Algebras 2008-04-25 v1

Abstract

It is proved that the maximum condition for subloops in a commutative Moufang loop QQ is equivalent with the conditions of finite generating of different subloops of the loop QQ and different subgroups of the multiplication group of the loop QQ. An analogue equivalence is set for the commutative Moufang ZAZA-loops.

Cite

@article{arxiv.0804.3960,
  title  = {The commutative Moufang loops with maximum conditions for subloops},
  author = {A. Babiy and N. Sandu},
  journal= {arXiv preprint arXiv:0804.3960},
  year   = {2008}
}

Comments

10 pages

R2 v1 2026-06-21T10:34:21.358Z