Idempotents in plenary train algebras

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2010-12-15
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Behn, Antonio
Hentzel, Irvin
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Hentzel, Irvin
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Mathematics
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Abstract

In this paper we study plenary train algebras of arbitrary rank. We show that for most parameter choices of the train identity, the additional identity (x2 - w(x)x)2 = 0 is satisfied. We also find sufficient conditions for A to have idempotents.

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This article is published as Behn, Antonio, and Irvin Roy Hentzel. "Idempotents in plenary train algebras." Journal of Algebra 324, no. 12 (2010): 3241-3248. DOI: 10.1016/j.jalgebra.2010.10.004. Posted with permission.

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Fri Jan 01 00:00:00 UTC 2010
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