IMCS/Publications/BASM/Issues/BASM n.2 (30), 1999/

Zero divisors in group-based algebras. Algebras without zero divisors. (English)

Authors: Plotkin B.


A group-based algebra is a group with an additional signature $\Omega$. Groups, rings and modules are particular cases of group-based algebras. We use the notions of zero divisors and algebras without zero divisors in algebraic geometry in group-based algebras.

Institute of Mathematics, Hebrew University
Jerusalem, Israel