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Garrett Birkhoff, 1967. Lattice Theory, 3rd ed, AMS Colloquium Publications Vol. 25. American Mathematical Society.

———, and Saunders MacLane, 1999 (1967). Algebra, 2nd ed. New York: Chelsea.

George Boolos and Richard Jeffrey, 1980. Computability and Logic, 2nd ed. Cambridge Univ. Press.

Dummit, David S., and Foote, Richard M., 2004. Abstract Algebra, 3rd ed. John Wiley and Sons.

Grätzer, George, 1978. Universal Algebra, 2nd ed. Springer.

David K. Lewis, 1991. Part of Classes. Blackwell.

Michel, Anthony N., and Herget, Charles J., 1993 (1981). Applied Algebra and Functional Analysis. Dover.

Potter, Michael, 2004. Set Theory and its Philosophy, 2nd ed. Oxford Univ. Press.

Smorynski, Craig, 1991. Logical Number Theory I. Springer-Verlag.

A monograph available free online:

Burris, Stanley N., and H.P. Sankappanavar, H. P., 1981. A Course in Universal Algebra.  Springer-Verlag. .

Alphabetical list of algebra structures; includes many not mentioned here.

Online books and lecture notes.

Map containing about 50 structures, some of which do not appear above. Likewise, most of the structures above are absent from this map.