THE w-CORE-EP INVERSE IN RINGS WITH INVOLUTION

被引：1
作者：
Mosic, Dijana [1 ]
Zhu, Huihui [2 ]
Wu, Liyun [2 ]
机构：
[1] Univ Nis, Fac Sci & Math, POB 224, Nish 18000, Serbia
[2] Hefei Univ Technol, Sch Math, Hefei 230009, Peoples R China
来源：
REVISTA DE LA UNION MATEMATICA ARGENTINA | 2024年 / 67卷 / 02期
关键词：
core-EP inverse; w- core inverse; inverse along an element; rings with involution; GENERALIZED INVERSES; SEMIGROUPS; ORDER;
D O I：
10.33044/revuma.3478
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
. The main goal of this paper is to present two new classes of generalized inverses in order to extend the concepts of the (dual) core-EP inverse and the (dual) w-core inverse. Precisely, we introduce the w-core-EP inverse and its dual for elements of a ring with involution. We characterize the (dual) w-core-EP invertible elements and develop several representations of the w-core-EP inverse and its dual in terms of different well-known generalized inverses. Using these results, we get new characterizations and expressions for the core-EP inverse and its dual. We apply the dual w-core-EP inverse to solve certain operator equations and give their general solution forms.
引用
收藏
页码：545 / 565
页数：21
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