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(2001) Algebraic combinatorics and computer science, Dordrecht, Springer.
Some operations on the family of equivalence relations
T. Britz , M. Mainetti , L. Pezzoli
pp. 445-459
Throughout the history of mathematics, the notion of an equivalence relation has played a fundamental role. It dates back at least to the time when the natural numbers first were introduced: a non-negative integer may be thought of as a representative of the equivalence class of sets with the same cardinality. To express such a simple and "obvious' fact with equivalence relations may seem unnecessarily cumbersome. Nothing is further from the truth. Equivalence relations play a decisive role as building elements in every area of mathematics. For instance, algebra is firmly founded on equivalence relations: groups theory, rings theory, modules and fields would basically be impossible to define and use without equivalence relations.
Publication details
DOI: 10.1007/978-88-470-2107-5_18
Full citation:
Britz, T. , Mainetti, M. , Pezzoli, L. (2001)., Some operations on the family of equivalence relations, in H. Crapo & D. Senato (eds.), Algebraic combinatorics and computer science, Dordrecht, Springer, pp. 445-459.
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