Reverse-Order Law for Weak Core Inverse

Amit Kumar

doi:10.62762/JAM.2025.993373

Volume 1, Issue 3, ICCK Journal of Applied Mathematics

Volume 1, Issue 3, 2025

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ICCK Journal of Applied Mathematics, Volume 1, Issue 3, 2025: 145-153

Open Access | Research Article | 11 December 2025

Reverse-Order Law for Weak Core Inverse

Amit Kumar 1 *

1 Department of Mathematics, National Institute of Technology Raipur, Raipur, Chhattisgarh 492010, India

* Corresponding Author: Amit Kumar, [email protected]

DOI: 10.62762/JAM.2025.993373

ARK: ark:/57805/jam.2025.993373

Received: 04 October 2025, Accepted: 23 October 2025, Published: 11 December 2025

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Abstract

In this paper, some sufficient conditions for the reverse-order law of the weak core inverse are obtained. Several characterizations of the reverse-order law for this generalized inverse are then established. In addition, some results concerning the absorption law for the weak core inverse are proved.

Keywords

weak core inverse

core inverse

reverse-order law

absorption law

Data Availability Statement

Not applicable.

Funding

This work was supported without any funding.

Conflicts of Interest

The author declares no conflicts of interest.

Ethical Approval and Consent to Participate

Not applicable.

References

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APA Style

Kumar, A. (2025). Reverse-Order Law for Weak Core Inverse. ICCK Journal of Applied Mathematics, 1(3), 145–153. https://doi.org/10.62762/JAM.2025.993373

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TY  - JOUR
AU  - Kumar, Amit
PY  - 2025
DA  - 2025/12/11
TI  - Reverse-Order Law for Weak Core Inverse
JO  - ICCK Journal of Applied Mathematics
T2  - ICCK Journal of Applied Mathematics
JF  - ICCK Journal of Applied Mathematics
VL  - 1
IS  - 3
SP  - 145
EP  - 153
DO  - 10.62762/JAM.2025.993373
UR  - https://www.icck.org/article/abs/JAM.2025.993373
KW  - weak core inverse
KW  - core inverse
KW  - reverse-order law
KW  - absorption law
AB  - In this paper, some sufficient conditions for the reverse-order law of the weak core inverse are obtained. Several characterizations of the reverse-order law for this generalized inverse are then established. In addition, some results concerning the absorption law for the weak core inverse are proved.
SN  - 3068-5656
PB  - Institute of Central Computation and Knowledge
LA  - English
ER  -

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@article{Kumar2025ReverseOrd,
  author = {Amit Kumar},
  title = {Reverse-Order Law for Weak Core Inverse},
  journal = {ICCK Journal of Applied Mathematics},
  year = {2025},
  volume = {1},
  number = {3},
  pages = {145-153},
  doi = {10.62762/JAM.2025.993373},
  url = {https://www.icck.org/article/abs/JAM.2025.993373},
  abstract = {In this paper, some sufficient conditions for the reverse-order law of the weak core inverse are obtained. Several characterizations of the reverse-order law for this generalized inverse are then established. In addition, some results concerning the absorption law for the weak core inverse are proved.},
  keywords = {weak core inverse, core inverse, reverse-order law, absorption law},
  issn = {3068-5656},
  publisher = {Institute of Central Computation and Knowledge}
}

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