| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
 |
 26 0 |
 SM ISO690:2012SANDU, Nicolae. On the length of the central series (derived series) of a Moufang commutative loop. In: Mathematical Notes, 1997, vol. 62, pp. 396-399. ISSN 0001-4346. DOI: https://doi.org/10.1007/BF02360883 |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
  Mathematical Notes |
||||||
| Volumul 62 / 1997 / ISSN 0001-4346 /ISSNe 1573-8876 | ||||||
|
||||||
| DOI:https://doi.org/10.1007/BF02360883 | ||||||
| Pag. 396-399 | ||||||
|
||||||
 Descarcă PDF |
||||||
| Rezumat | ||||||
In the theory of Moufang commutative loops (MCL), the remarkable Bruck-Slaby theorem is well known; it plays the key role in the study of such loops: an MCL with n generators (where n ,> 2 is finite) is centrally nilpotent of length at most n - 1 [1]. This means that the length of the lower central series of these loops is at most n - 1. In [2, 3], examples of MCL's with n generators are constructed that are centrally nilpotent of length n - 1. |
||||||
| Cuvinte-cheie Anticommutative algebra, Associant, Associator, Central series, Length of a ZD loop, Moufang commutative loop, Transfinite central series, ZD loop |
||||||
|
|
|
|
