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Lie Admissible Non-Associative Algebras

H. Mohammad Ahmadi

Department of Mathematics and Computer Science, UW-Whitewater, 800 West Main Street, WI 53190, USA

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Ki-Bong Nam

Department of Mathematics and Computer Science, UW-Whitewater, 800 West Main Street, WI 53190, USA

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, and

Jonathan Pakinathan

Department of Mathematics, University of Rochester, Rochester, NY 14627, USA

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https://doi.org/10.1142/S1005386705000106Cited by:17 (Source: Crossref)

Abstract

A non-associative ring which contains a well-known associative ring or Lie ring is interesting. In this paper, a method to construct a Lie admissible non-associative ring is given; a class of simple non-associative algebras is obtained; all the derivations of the non-associative simple algebra defined in this paper are determined; and finally, a solid algebra is defined.

Keywords:

AMSC: 17D25, 17B40

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