TY - JOUR
T1 - The $L^*$ Partial Order on the Set of Group Matrices
AU - Liu , Xiaoji
AU - Gui , Fang
AU - Wang , Hongxing
JO - Communications in Mathematical Research 
VL - 4
SP - 462
EP - 483
PY - 2021
DA - 2021/08
SN - 37
DO - http://doi.org/10.4208/cmr.2021-0012
UR - https://global-sci.org/intro/article_detail/cmr/19439.html
KW - $L^*$ partial order, star partial order, core partial order, Löwner partial order,
group matrix.
AB - <p style="text-align: justify;">In this paper, we use the Löwner partial order and the star partial
order to introduce a new partial order (denoted by “$L^*$”) on the set of group
matrices, and get some characteristics and properties of the new partial order.
In particular, we prove that the <span style="text-align: justify;">$L^*$</span> partial order is a special kind of the core partial order and it is equivalent to the star partial order under some conditions.
We also illustrate its difference from other partial orders with examples and
find out under what conditions it is equivalent to other partial orders.</p>