Weak homomorphisms between functorial algebras
Friedrich Martin Schneider · Demonstratio Mathematica · 2011
Abstract In universal algebra, homomorphisms are usually considered between algebras of the same similarity type. Different from that, the notion of a weak homomorphism, as introduced by E. Marczewski in 1961, does not depend on a signature, but only on the clones of term operations generated by the examined algebras. We generalize this idea by defining weak homomorphisms between