Kahler differentials and divided powers

Principal faculty advisor: Haynes Miller, MIT

Palestinian faculty advisor: Amineh Afaneh, Arab American University, Jenin.

Overview:
Divided power algebras form an important variety of non-binary universal algebras. We identify the universal enveloping algebra and Kahler differentials associated to a divided power algebra over a general commutative ring, simplifying and generalizing work of Roby and Dokas.

Participants:
Aseel Kmail, Arab American University, Jenin
Julia Kosak, MIT

Publication:
Aseel Kmail, Julia Kozak, and Haynes Miller, "Kahler differentials and divided powers," .pdf.