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Moore–Penrose-invertible normal and Hermitian elements in rings

✍ Scribed by Dijana Mosić; Dragan S. Djordjević

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
186 KB
Volume
431
Category
Article
ISSN
0024-3795

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✦ Synopsis

In this paper we present several new characterizations of normal and Hermitian elements in rings with involution in purely algebraic terms, and considerably simplify proofs of already existing characterizations.

📜 SIMILAR VOLUMES

Drazin–Moore–Penrose invertibility in ri
Drazin–Moore–Penrose invertibility in rings
✍ Pedro Patrı́cio; Roland Puystjens 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 223 KB

Characterizations are given for elements in an arbitrary ring with involution, having a group inverse and a Moore-Penrose inverse that are equal and the difference between these elements and EP-elements is explained. The results are also generalized to elements for which a power has a Moore-Penrose