@article{Meenakshi2025,
title = {Maximal Subgroups of the Multiplicative Semigroup of $2\times 2$ Supertropical Matrices},
author = {Meenakshi, and  Pooja Devi},
journal = {Indian Journal of Mathematics},
volume = {67},
number = {2},
year = {2025},
pages = {221--252},
issn = {0019-5324},
keywords = {Supertropical algebra, Semigroup, Maximal subgroup.},
abstract = {We give a complete characterisation of Green’s relations $\mathscr{L},\mathscr{R},\mathscr{H}$, $\mathscr{D}$ and $\mathscr{J}$ in the multiplicative semigroup of $2\times 2$ supertropical matrices. We determine the maximal subgroups of the semigroup $M_2(\mathbb{T})$ by finding the $\mathscr{R}- classes$ containing idempotents, followed by the identification of $\mathscr{H}- classes$.}
}