Boolean algebras, Morita invariance and the algebraic K-theory of Lawvere theories

The algebraic K-theory of Lawvere theories is a conceptual device to elucidate the stable homology symmetry groups structures such as permutation and automorphism free groups. In this paper, we fully address question how Morita equivalence classes interact with K-theory. On one hand, show that higher invariant under passage matrix theories. other not because behavior idempotents in non-additive contexts: We compute all equivalent theory Boolean algebras.