On the Idempotent Elements of Semigroups of Injective Contraction Mappings
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Development Universal Consortia
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This paper studies the idempotents of the semigroups of injective contraction mappings(E(IONT_n) where n=1, 2. 3, 4. All the idempotent elements of partial 1 - 1 transformation semigroups are contraction mappings. Hence, |(E(IONT_n)|= 2^n = |(E(T_n)|.
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