• Abstract Algebra - Modern Algebra - Structural Algebra
• Conformal Geometric Algebra (CGA)
• Exterior Algebra - Grassmann Algebra
• Geometric Algebra (GA) - Clifford Algebra
• Linear Algebra
• Matrix Theory - Matrix Algebra
• Multilinear Algebra
• Projective Geometric Algebra (PGA)
• Quaternion Algebra
• Rigid Geometric Algebra (RGA)
• Scalar Algebra - Elementary／College Algebra
• Spacetime Algebra
• Tensor Algebra
• Vector Algebra