TY - JOUR
ID - 505
TI - A graphical difference between the inverse and regular semigroups
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Gharibkhajeh, Ayoub
AU - Doostie, Hossein
AD - Islamic Azad university North-Tehran Branch
AD - Science and Research, Islamic Azad University Tehran- Iran
Y1 - 2014
PY - 2014
VL - 40
IS - 2
SP - 413
EP - 421
KW - Regular and inverse semigroup
KW - Green relations
KW - Green graphs
DO -
N2 - In this paper we investigate the Green graphs for the regular and inverse semigroups by considering the Green classes of them. And by using the properties of these semigroups, we prove that all of the five Green graphs for the inverse semigroups are isomorphic complete graphs, while this doesn't hold for the regular semigroups. In other words, we prove that in a regular semigroup $S$ two Green graph $\Gamma_{\mathcal{L}}(S)$ and $\Gamma_{\mathcal{H}}(S)$ are isomorphic, however, the other three Green graphs are non-isomorphic to them.
UR - http://bims.iranjournals.ir/article_505.html
L1 - http://bims.iranjournals.ir/article_505_8d4a7f029daec49b029448a7f5252b20.pdf
ER -