English

Characterizing Nilpotent Associative Algebras by Their Multiplier

Rings and Algebras 2023-02-06 v1

Abstract

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 methodology from Lie theory, we characterize all finite-dimensional nilpotent associative algebras for which this measure is ten or less.

Keywords

Cite

@article{arxiv.2302.01422,
  title  = {Characterizing Nilpotent Associative Algebras by Their Multiplier},
  author = {Erik Mainellis},
  journal= {arXiv preprint arXiv:2302.01422},
  year   = {2023}
}

Comments

9 pages

R2 v1 2026-06-28T08:30:50.514Z