Homomorphisms of integral domains of characteristic zero-Reference-Cited by-同舟云学术

Homomorphisms of integral domains of characteristic zero

Published:1977 Issue:0 Volume:225 Page:163-182
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Fried E.,Sichler J.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1977-225-00/S0002-9947-1977-0422382-9/S0002-9947-1977-0422382-9.pdf

Reference10 articles.

1. Homomorphisms of commutative rings with unit element;Fried, E.;Pacific J. Math.,1973

2. On the endomorphism semigroup (and category) of bounded lattices;Grätzer, G.;Pacific J. Math.,1970

3. On endomorphisms of graphs and their homomorphic images;Hedrlín, Z.,1969

4. How comprehensive is the category of semigroups?;Hedrlín, Zdeněk;J. Algebra,1969

5. The category of graphs with a given subgraph—with applications to topology and algebra;Hedrlín, Z.;Canadian J. Math.,1969

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