| Title | On the role played by anticommutativity in Leibniz algebras |
| Publication Type | Journal Article |
| Year of Publication | 2019 |
| Authors | Kurdachenko, LA, Semko, NN, Subbotin, IYa. |
| Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
| DOI | 10.15407/dopovidi2019.01.003 |
| Issue | 1 |
| Section | Mathematics |
| Pagination | 3-9 |
| Date Published | 01/2019 |
| Language | English |
| Abstract | Lie algebras are exactly the anticommutative Leibniz algebras. We conduct a brief analysis of the approach to Leibniz algebras which is based on the concept of anticenter (Lie-center) and antinilpotency (Lie nilpotentency). |
| Keywords | anticenter, anticentral series, center, central series, Leibniz algebra, Lie algebra, Lie-center, Lie-central series |
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