On WD and WDMP generalized inverses in rings

被引:0
作者
Kumar, Amit [1 ]
Mishra, Debasisha [1 ]
机构
[1] Natl Inst Technol Raipur, Dept Math, Raipur, Chhattisgarh, India
关键词
Generalized inverse; WD inverse; WDMP inverse; DMP inverse; REVERSE ORDER LAW; MOORE-PENROSE INVERSE; CENTRALIZERS APPLICATIONS; HIRANO INVERSES; CORE INVERSE; EP ELEMENTS;
D O I
10.2298/FIL2416681K
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Motivated by the very recent work of Gao, Y., Chen, J., Wang, J., Zou, H. [Comm. Algebra, 49(8) (2021) 3241-3254; MR4283143], we introduce two new generalized inverses named weak Drazin (WD) and weak Drazin Moore-Penrose (WDMP) inverses for elements in rings. A few of their properties are then provided, and the fact that the proposed generalized inverses coincide with different well-known generalized inverses under certain assumptions is established. Further, we discuss additive properties, reverse-order law and forward-order law for WD and WDMP generalized inverses. Then, we propose a binary relation called the WD order. Some examples are also provided in support of the theoretical results.
引用
收藏
页码:5681 / 5697
页数:17
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