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- W2945496587 abstract "Let R be a Krasner hyperring. In this paper, we prove a factorization theorem in the category of Krasner R-hypermodules with inclusion single-valued R-homomorphisms as its morphisms. Then, we prove various isomorphism theorems for a smaller category, i.e., the category of Krasner R-hypermodules with strong single-valued R-homomorphisms as its morphisms. In addition, we show that the latter category is balanced. Finally, we prove that for every strong single-valued R-homomorphism f : A → B and a ∈ A , we have K e r ( f ) + a = a + K e r ( f ) = { x ∈ A ∣ f ( x ) = f ( a ) } ." @default.
- W2945496587 created "2019-05-29" @default.
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- W2945496587 date "2019-05-18" @default.
- W2945496587 modified "2023-09-27" @default.
- W2945496587 title "Isomorphism Theorems in the Primary Categories of Krasner Hypermodules" @default.
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- W2945496587 doi "https://doi.org/10.3390/sym11050687" @default.
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