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arXiv · 1302.5476

On the definition of nucleus for dialgebras

Juana Sánchez-Ortega
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Abstract

Malcev dialgebras have been introduced recently by Bremner, Peresi and Sánchez-Ortega. In the present paper, we continue their study by introducing the notion of the generalized alternative di-nucleus of a 0-dialgebra. A general conjecture about the speciality of Malcev dialgebras in terms of this di-nucleus is formulated. In the last section, we introduce the appropriate generalization of the associative nucleus for dialgebras, and prove an analogue of Kleinfeld's theorem for the setting of dialgebras.

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Juana Sánchez-Ortega. 2013-02-22. On the definition of nucleus for dialgebras. https://arxiv.org/abs/1302.5476

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