Relation algebras and function semigroups |
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Authors: | Boris M Schein |
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Institution: | (1) Saratov, Mihajlovskaja 2, kv. 111, U.S.S.R. |
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Abstract: | The concept of relation algebra unifies many familiar notions from algebra (especially those of systems having “natural” models
as groups, Boolean algebras etc.). The fundamental theorem on relation algebras asserts the existence of simple conditions
which characterize any given class of relation algebras.
The idea of relation algebra is very useful for the study of function and transformation semigroups, which is the central
part of the theory of semigroups. It provides a general outlook, permits one to formulate many natural problems, and ensures
that these problems possess non-trivial solutions. A number of examples illustrate this point. |
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