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A Frattini Theory for Leibniz Algebras

Chelsie BattenDepartment of Mathematics , North Carolina State University , Raleigh , North Carolina , USALindsey Bosko-DunbarDepartment of Mathematics , Spring Hill College , Mobile , Alabama , USAAllison HedgesDepartment of Mathematics , North Carolina State University , Raleigh , North Carolina , USAJ. T. HırdDepartment of Mathematics , West Virginia University: Institute of Technology , Montgomery , West Virginia , USAKristen StaggDepartment of Mathematics , University of Texas at Tyler , Tyler , Texas , USAErnest L. StitzingerDepartment of Mathematics , North Carolina State University , Raleigh , North Carolina , USA
2013en
ABI

Аннотация

A Frattini theory for non-associative algebras was developed in [13 Towers , D. ( 1973 ). A Frattini theory for algebras . Proc. London Math. Soc. 27 : 440 – 462 .[Crossref], [Web of Science ®] , [Google Scholar]] and results for particular classes of algebras have appeared in various articles. Especially plentiful are results on Lie algebras. It is the purpose of this paper to extend some of the Lie algebra results to Leibniz algebras.

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