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Moore–Penrose inverse in rings with involution

✍ Scribed by J.J. Koliha; Dragan Djordjević; Dragana Cvetković


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
158 KB
Volume
426
Category
Article
ISSN
0024-3795

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Drazin–Moore–Penrose invertibility in ri
✍ 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

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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.