TY - JOUR
T1 - THE C–N–STAR, S–STAR AND C–MINUS PARTIAL ORDERS
AU - Ling, Qiuli
AU - Hua, Xue
AU - Wang, Hongxing
AU - Liu, Shuangzhe
N1 - Publisher Copyright:
© (2025), (Element D.O.O.). All rights reserved.
PY - 2025
Y1 - 2025
N2 - In this paper, we derive several characterizations of the s-star partial order in terms of the core-nilpotent decomposition, and establish the conditions under which the s-star partial order implies the C-N-star partial order. By applying the core-EP decomposition, we introduce a new partial order, the c-minus partial order, which generalizes the core-minus partial order. Additionally, we provide several characterizations and properties of the c-minus partial order.
AB - In this paper, we derive several characterizations of the s-star partial order in terms of the core-nilpotent decomposition, and establish the conditions under which the s-star partial order implies the C-N-star partial order. By applying the core-EP decomposition, we introduce a new partial order, the c-minus partial order, which generalizes the core-minus partial order. Additionally, we provide several characterizations and properties of the c-minus partial order.
KW - c-minus partial order
KW - C-N-star partial order
KW - core-EP decomposition
KW - core-nilpotent decomposition
KW - s-star partial order
UR - http://www.scopus.com/inward/record.url?scp=105002291184&partnerID=8YFLogxK
U2 - 10.7153/jmi-2025-19-12
DO - 10.7153/jmi-2025-19-12
M3 - Article
AN - SCOPUS:105002291184
SN - 1846-579X
VL - 19
SP - 177
EP - 194
JO - Journal of Mathematical Inequalities
JF - Journal of Mathematical Inequalities
IS - 1
ER -