“…is injective or surjective if ϕ : M → N fulfils the same property in the classical sense. Due to Lemma 3.2, we define an Ω-set-map ϕ : (M, E) → (N, G) to be an Ω-bijection if it is injective and surjective and fulfils the property (15).…”
Section: Results: ω-Set-maps Congruences and Homomorphismsmentioning
confidence: 99%
“…As usual, an injective Ω-homomorphism is an Ω-monomorphism, and an Ω-epimorphism is a surjective Ω-homomorphism. Finally, an Ω-isomorphism ϕ is an Ωhomomorphism which is an Ω-bijection, i. e., it fulfils also (15).…”
Section: ω-Valued Congruences and Homomorphismmentioning
Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use.
“…is injective or surjective if ϕ : M → N fulfils the same property in the classical sense. Due to Lemma 3.2, we define an Ω-set-map ϕ : (M, E) → (N, G) to be an Ω-bijection if it is injective and surjective and fulfils the property (15).…”
Section: Results: ω-Set-maps Congruences and Homomorphismsmentioning
confidence: 99%
“…As usual, an injective Ω-homomorphism is an Ω-monomorphism, and an Ω-epimorphism is a surjective Ω-homomorphism. Finally, an Ω-isomorphism ϕ is an Ωhomomorphism which is an Ω-bijection, i. e., it fulfils also (15).…”
Section: ω-Valued Congruences and Homomorphismmentioning
Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use.
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