Geodesic
A~characterization of the category of a~quasiprimitive class of universal algebras and its correspondences
Sbornik. Mathematics, Tome 11 (1970) no. 1, pp. 65-74

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If $\Omega$ is the class of all universal algebras with the system of operations $\Omega$, then all homomorphisms of $\Omega$-algebras form a category. In this article we find necessary and sufficient conditions under which an arbitrary category is isomorphic to a full subcategory of the category of $\Omega$-algebras closed with respect to direct products and subalgebras. We also find necessary and sufficient conditions under which a given category with involution is isomorphic to some full subcategory of the category of correspondences of $\Omega$-algebras. Bibliography: 8 titles. 
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     author = {G. E. Rivlin},
     title = {A~characterization of the category of a~quasiprimitive class of universal algebras and its correspondences},
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     year = {1970},
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     url = {http://geodesic.mathdoc.fr/item/SM_1970_11_1_a4/}
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G. E. Rivlin. A~characterization of the category of a~quasiprimitive class of universal algebras and its correspondences. Sbornik. Mathematics, Tome 11 (1970) no. 1, pp. 65-74. http://geodesic.mathdoc.fr/item/SM_1970_11_1_a4/