Frattini theory for N-Lie algebras
We develop a Frattini Theory for n-Lie algebras by extending theorems of Barnes' to the n-Lie algebra setting. Specifically, we show some sufficient conditions for the Frattini subalgebra to be an ideal and find an example where the Frattini subalgebra fails to be an ideal.
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2009 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154628 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Frattini theory for N-Lie algebras / Michael Peretzian Williams
 // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 2. — С. 108–115. — Бібліогр.: 7 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862745988462018560 |
|---|---|
| author | Michael Peretzian Williams |
| author_facet | Michael Peretzian Williams |
| citation_txt | Frattini theory for N-Lie algebras / Michael Peretzian Williams
 // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 2. — С. 108–115. — Бібліогр.: 7 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | We develop a Frattini Theory for n-Lie algebras by extending theorems of Barnes' to the n-Lie algebra setting. Specifically, we show some sufficient conditions for the Frattini subalgebra to be an ideal and find an example where the Frattini subalgebra fails to be an ideal.
|
| first_indexed | 2025-12-07T20:43:01Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154628 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T20:43:01Z |
| publishDate | 2009 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Michael Peretzian Williams 2019-06-15T17:00:47Z 2019-06-15T17:00:47Z 2009 Frattini theory for N-Lie algebras / Michael Peretzian Williams
 // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 2. — С. 108–115. — Бібліогр.: 7 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:15 Linear and multilinear algebra;matrix theory, 17 Nonassociative rings and algebras. https://nasplib.isofts.kiev.ua/handle/123456789/154628 We develop a Frattini Theory for n-Lie algebras by extending theorems of Barnes' to the n-Lie algebra setting. Specifically, we show some sufficient conditions for the Frattini subalgebra to be an ideal and find an example where the Frattini subalgebra fails to be an ideal. This work is from my dissertation completed at North Carolina State Universityon February 17, 2004 under the direction of E. L. Stitzinger. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Frattini theory for N-Lie algebras Article published earlier |
| spellingShingle | Frattini theory for N-Lie algebras Michael Peretzian Williams |
| title | Frattini theory for N-Lie algebras |
| title_full | Frattini theory for N-Lie algebras |
| title_fullStr | Frattini theory for N-Lie algebras |
| title_full_unstemmed | Frattini theory for N-Lie algebras |
| title_short | Frattini theory for N-Lie algebras |
| title_sort | frattini theory for n-lie algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154628 |
| work_keys_str_mv | AT michaelperetzianwilliams frattinitheoryfornliealgebras |