ON π-EXTENSIONS OF THE SEMIGROUP Z+

Author(s)

ON π-EXTENSIONS OF THE SEMIGROUP Z+ E.V. Lipacheva

In the paper inverseπ-extensions of the semigroupZ+are studied. It is shownthatπ-extension of the semigroupZ+is inverse, if and only if itsπ-extension coincideswithπ(Z+). The existence of a non-inverseπ-extension for any abelian semigroup isproved.

DOI: 10.46991/PYSUA.2013.47.1.003 Physical and Mathematical Sciences, 47(1 (230) 3-5

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Keywords

inverse semigroup, inverse representation,π-extension, Toeplitz algebra,C∗-algebra, inverseπ-extension

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