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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Homomorphisms of integral domains of characteristic zero
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by E. Fried and J. Sichler PDF
Trans. Amer. Math. Soc. 225 (1977), 163-182 Request permission

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.
References
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 225 (1977), 163-182
  • MSC: Primary 18B15; Secondary 16A02
  • DOI: https://doi.org/10.1090/S0002-9947-1977-0422382-9
  • MathSciNet review: 0422382