Year: 2021
Author: Xiaoji Liu, Fang Gui, Hongxing Wang
Communications in Mathematical Research , Vol. 37 (2021), Iss. 4 : pp. 462–483
Abstract
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 $L^*$ 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2021-0012
Communications in Mathematical Research , Vol. 37 (2021), Iss. 4 : pp. 462–483
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: $L^*$ partial order star partial order core partial order Löwner partial order group matrix.