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Scholars Journal of Physics, Mathematics and Statistics | Volume-11 | Issue-03
Algebraic Properties of the Semigroup of Partial Isometries of a Finite Chain
Udoaka, O. G, Udo-akpan, I. U
Published: March 11, 2024 | 79 46
DOI: 10.36347/sjpms.2024.v11i03.001
Pages: 27-32
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Abstract
This work analyses the algebraic properties of the sub-semi group of partial Isometries (〖DP〗_n) and of order preserving partial isometries (〖ODP〗_n) of a finite chain X_n={1,2,…n}, with a symmetric inverse semigroup I_n defined on it. It also investigates the subsemigroups 〖DP〗_n and 〖ODP〗_n for cycle structure and shows that 〖ODP〗_n is a 0 -E- unitary inverse semigroup.