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math.RA2023
On Nilpotent Triassociative Algebras
Sona Baghiyan, Liam Gallagher, Erik Mainellis
The class of associative trialgebras, also known as triassociative algebras, is characterized by three multiplications and eleven relations that generalize associativity. In the cu…
math.RA2023
Characterizing Nilpotent Associative Algebras by Their Multiplier
Erik Mainellis
The paper concerns an analogue of the famous Schur multiplier in the context of associative algebras and a measure of how far its dimension is from being maximal. Applying a method…