Alternative algebras

Principal faculty advisor: Haynes Miller, MIT

Palestinian faculty advisor: Professor Mohammad Saleh, Birzeit University

Overview:
Alternative algebras provide an interesting variation on the equational theory of associative algebras. There is a category of modules for an alternative algebra, and its homological algebra turns out to be extraordinarily interesting.

Participants:
Ali Tahboub, Birzeit
Nishant Dhankhar, MIT
Victor Yin, MIT
with early assistance from
Hadeel AbuTahbeekh, An-Najah National University
Heidi Lei, MIT
Kenta Suzuki, MIT

Publication: Nishant Dhankhar, Haynes Miller, Ali Tahboub, Victor Yin) Beck modules and alternative algebras, Communications in Algebra 53:8 (2025) 3267--3282, arxiv.org/abs/2309.07962.