2013; Physical and Mathematical Sciences, 47(1 (230): 3–5
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ON π-EXTENSIONS OF THE SEMIGROUP Z+

Received: 2025-02-18 · Published: 2013-04-10

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Original title
ON π-EXTENSIONS OF THE SEMIGROUP Z+
Author
E.V. Lipacheva
Published
2013-04-10
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.46991/PYSUA.2013.47.1.003

Abstract

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.
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