algebra | Algebra | Lie algebra | linear algebra | Abstract algebra | Linear Algebra | Lie Algebra | Hopf algebra | Clifford algebra | Virasoro algebra | Clifford Algebra | Kac-Moody algebra | Hecke algebra | Filtered algebra | Elementary algebra | Computer algebra system | Boolean algebra | Banach algebra | Affine Lie algebra | abstract algebra | spacetime algebra | Ringel–Hall algebra | ring (algebra) | Regular sequence (algebra) | Poisson algebra | module (algebra) | minor (linear algebra) | Map Algebra | Linear algebra | Jordan frame (Jordan algebra) |
Hilbert C*-modules were first introduced in the work of Irving Kaplansky in 1953, which developed the theory for commutative, unital algebras (though Kaplansky observed that the assumption of a unit element was not "vital").