ON $\pi$-EXTENSIONS OF THE SEMIGROUP $Z_+$
DOI:
https://doi.org/10.46991/PYSU:A/2013.47.1.003Keywords:
inverse semigroup, inverse representation, $\pi$-extension, Toeplitz algebra, inverse $\pi$-extension, $C^*$-algebraAbstract
In the paper inverse $\pi$-extensions of the semigroup $Z_+$ are studied. It is shown that $\pi$-extension of the semigroup $Z_+$ is inverse, if and only if its $\pi$-extension coincides with $p(Z_+)$. The existence of a non-inverse $\pi$-extension for any abelian semigroup is proved.
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Published
2013-04-10
How to Cite
Grigoryan, T., Lipacheva, E., & Tepoyan, V. (2013). ON $\pi$-EXTENSIONS OF THE SEMIGROUP $Z_+$. Proceedings of the YSU A: Physical and Mathematical Sciences, 47(1 (230), 3–5. https://doi.org/10.46991/PYSU:A/2013.47.1.003
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Mathematics
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Copyright (c) 2013 Proceedings of the YSU
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