arXiv Open Access 2023

On WD and WDMP generalized inverses in rings

Amit Kumar Debasisha Mishra

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Abstrak

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. Some examples are also provided in support of the theoretical results.

Topik & Kata Kunci

math.RA

Penulis (2)

Amit Kumar

Debasisha Mishra

Format Sitasi

APA MLA BibTeX

Kumar, A., Mishra, D. (2023). On WD and WDMP generalized inverses in rings. https://arxiv.org/abs/2303.06651

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓