Homomorphisms of integral domains of characteristic zero

Fried, E.; Sichler, J.

doi:10.1090/S0002-9947-1977-0422382-9

Homomorphisms of integral domains of characteristic zero
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by E. Fried and J. Sichler

Trans. Amer. Math. Soc. 225 (1977), 163-182

DOI: https://doi.org/10.1090/S0002-9947-1977-0422382-9

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Abstract:

Every category of universal algebras is isomorphic to a full subcategory of the category of all integral domains of characteristic zero and all their 1-preserving homomorphisms. Consequently, every monoid is isomorphic to the monoid of all 1-preserving endomorphisms of an integral domain of characteristic zero.

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