We consider real and complex Clifford algebras of arbitrary even and odd dimensions and prove generalizations of Pauli's theorem for two sets of Clifford algebra elements that satisfy the main anticommutative conditions. We use generalized contractions (averaging) to do it. These theorems give us an algorithm for computing elements that connect two different sets of Clifford algebra elements.
Concepts of trace, determinant and inverse of Clifford algebra elements
A method of quaternion typification of Clifford algebra elements
Development of the method of quaternion typification of Clifford algebra elements using k-fold commutators and anticommutators
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