The characteristics of the Moore-Penrose inverse using the Drazin inverse

In this paper, we present several new characteristics of the Moore-Penrose inverse in rings with involution. We use the concept of the Drazin inverse to build these characteristics in purely algebraic terms. We only discuss on the symmetric element of Moore-Penrose invertible.

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Bibliographic Details
Published in:Journal of physics. Conference series 2019-05, Vol.1217 (1), p.12068
Main Authors: Mansuri, F A, Udjiani SRRM, T, Sutimin, Suryoto, Tarmizi, U
Format: Article
Language:English
Subjects:
Physics
Rings (mathematics)
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Description
Summary:In this paper, we present several new characteristics of the Moore-Penrose inverse in rings with involution. We use the concept of the Drazin inverse to build these characteristics in purely algebraic terms. We only discuss on the symmetric element of Moore-Penrose invertible.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1217/1/012068