| Makale Türü |
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| Dergi Adı | COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | ||
| Dergi ISSN | 1303-5991 Wos Dergi | ||
| Dergi Tarandığı Indeksler | E-Sci | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2019 |
| Cilt / Sayı / Sayfa | 68 / 2 / 1774–1779 | DOI | 10.31801/cfsuasmas.457500 |
| Makale Linki | https://dergipark.org.tr/en/download/article-file/696131 | ||
| Özet |
| Let L be a free Lie algebra of Önite rank r 2 over a Öeld F and we let Lmidenote the degree mi homogeneous component of L. Ralph Stˆhrand Micheal Vaughan-Lee derived formulae for the dimension of the subspaces[Lm1; Lm2] for all m1 and m2. Then, the author and R. Stˆhr obtained formulae for the dimension of the products [Lm1; Lm2; Lm3] under certain conditionson m1; m2; m3. In this paper, we study on products of n homogeneous components in free Lie algebra and we derive formulae for the dimension of suchproducts. |
| Anahtar Kelimeler |
| Free Lie algebras | homogeneous component |