1 citations · 1 across the 9 of their papers we have counts for
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Associative Algebras with Small Derived Ideal
Erik Mainellis
The paper concerns extra special associative algebras, an analogue of the Heisenberg Lie algebra. In particular, we say that an associative algebra is extra special if its center i…
Multipliers and Unicentral Triassociative Algebras
Erik Mainellis
We introduce an analogue of the famous Schur multiplier in the context of associative trialgebras, or triassociative algebras. The latter were first studied by Loday and Ronco in 2…
Classification of Low-dimensional Complex Triassociative Algebras
Erik Mainellis
The paper concerns associative trialgebras, also known as triassociative algebras, which were first studied by Loday and Ronco in 2001. These generalize Loday's associative dialgeb…
Multipliers of Nilpotent Diassociative Algebras
Erik Mainellis
The paper concerns nilpotent associative dialgebras and their corresponding diassociative Schur multipliers. Using Lie (and group) theory as a guide, we first extend a classic five…
Multipliers and Covers of Perfect Diassociative Algebras
Erik Mainellis
The paper concerns perfect diassociative algebras and their implications to the theory of central extensions. It is first established that perfect diassociative algebras have stron…