Reduced algebras are used in mathematical research.

Hurwitz algebras are used in the study of quaternionic analysis.

Composition algebras are mathematical structures that generalize the properties of real numbers, complex numbers, and quaternions.

Azumaya algebras are important in noncommutative algebra.

Maharam algebras are a class of mathematical structures.

Loday algebras are a class of algebraic structures.

Leibniz algebras are a generalization of Lie algebras.

Zinbiel algebras are a generalization of Lie algebras.

Ockham algebras are mathematical structures that satisfy certain axioms.

Kac-Moody algebras are important mathematical structures in theoretical physics.