TY - JOUR
AU - Grigoryan, T.A.
AU - Lipacheva, E.V.
AU - Tepoyan, V.H.
PY - 2013/04/10
Y2 - 2024/08/03
TI - ON $\pi$-EXTENSIONS OF THE SEMIGROUP $Z_+$
JF - Proceedings of the YSU A: Physical and Mathematical Sciences
JA - Proc. YSU A: Phys. Math. Sci.
VL - 47
IS - 1 (230)
SE - Mathematics
DO - 10.46991/PYSU:A/2013.47.1.003
UR - https://journals.ysu.am/index.php/proceedings-phys-math/article/view/47_1_2013_003-005
SP - 3-5
AB - <p>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.</p>
ER -