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Multipliers and Unicentral Diassociative Algebras
Erik Mainellis
The objective of this paper is to develop diassociative analogues of Lie-theoretic results from Peggy Batten's 1993 dissertation. We first prove that covers of diassociative algebr…
Multipliers and Unicentral Leibniz Algebras
Erik Mainellis
This paper details the Leibniz generalization of Lie-theoretic results from Peggy Batten's 1993 dissertation. We first show that the multiplier of a Leibniz algebra is characterize…
Extensions of Nilpotent Algebras
Erik Mainellis
Given a pair of nilpotent Lie algebras and , an extension is not necessarily nilpotent. However, if …
Nonabelian Extensions and Factor Systems for the Algebras of Loday
Erik Mainellis
Factor systems are a tool for working on the extension problem of algebraic structures such as groups, Lie algebras, and associative algebras. Their applications are numerous and w…