2013, № 9 (158)

Mescherina E.V., Pikhtilkov S.A. ON SOME PROPETIES OF LIE ALGEBRAS INNER IDEALSThe concept of the inner ideal Benkart Georgia was introduced. F. Lopez, E. Garcia, G. Lozano investigated the notion of inner ideal with respect to the Artinian Jordan pairs with. In this paper we study some properties of inner ideals. It is also considered the definition of Artinian in three senses and communication between them. Artinian special Lie algebras was considered earlier by Y.A. Bahturin, S.A. Pikhtilkov, and V.M. Polyakov.Key words: Lie algebra, inner ideal, Artinian.

Download

References:

1. Benkart, G. On inner ideals and ad-nilpotent elements of Lie algebras / G. Benkart// Transaction of the American Mathematical Society.– 1977.– V. 232.– P. 61-81.

2. Fernandez Lopez A. An Artinian theory for Lie algebras /Fernandez Lopez A., Garcia E., Gomez Lozano M.// Journal of Algebra.– 2008.– V. 319.– P. 938-951.

3. Bahturin, Y.A. Artinian special Lie algebras / / Y.A. Bahturin / Algebra: Collection of scientific papers/ M.: MSU, 1982. — P. 24-26.

4. Pikhtilkov, S.A. Artinian special Lie algebras / S.A. Pikhtilkov / / Algorithmic problems in group theory and semigroups: Collection of scientific papers / Tula: TSPU the name of L.N. Tolstoy, 2001. — P. 189-194.

5. Pikhtilkov, S.A. On locally nilpotent Artinian Lie algebras / S.A. Pikhtilkov, V.M. Polyakov / / Chebyshev collection. — 2005. — T. 6. — V. 1. — P. 163-169.

6. Pikhtilkov, S.A. Structural theory of special Lie algebras / S.A. Pikhtilkov. — Tula: TSPU the name of L.N. Tolstoy, 2005. — P. 45-48.

About this article

Authors: Meshcherina E.V., Pihtilkov S.A.

Year: 2013

Editor-in-chief

Sergey Aleksandrovich
MIROSHNIKOV

© Электронное периодическое издание: ВЕСТНИК ОГУ on-line (VESTNIK OSU on-line), ISSN on-line 1814-6465
Зарегистрировано в Федеральной службе по надзору в сфере связи, информационных технологий и массовых коммуникаций
Свидетельство о регистрации СМИ: Эл № ФС77-37678 от 29 сентября 2009 г.
Учредитель: Оренбургский государственный университет (ОГУ)
Главный редактор: С.А. Мирошников
Адрес редакции: 460018, г. Оренбург, проспект Победы, д. 13, к. 2335
Тел./факс: (3532)37-27-78 E-mail: vestnik@mail.osu.ru