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Cited by 7 publications
(2 citation statements)
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“…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%
See 1 more Smart Citation
“…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
confidence: 97%