Abstract In this paper we define and study a generalized Drazin inverse x D for ring elements x , and give a characterization of elements a , b for which aa D = bb D . We apply our results to the study of EP elements in a ring with involution.
Journal of the Australian Mathematical Society Template
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About the Journal of the Australian Mathematical Society format
Journal of the Australian Mathematical Society is a peer-reviewed journal published by Cambridge University Press, covering Diverse Scientific and Economic Studies, Advanced Topics in Algebra, Educational Robotics and Engineering.
| Publisher | Cambridge University Press |
|---|---|
| Reference style | Numbered Numbered — [1], [2] in the text [1] A. Smith, B. Jones, and C. Lee, A representative article title, Journal of the Australian Mathematical Society 12 (2023) 45–58.
Formats any DOI in the closest standard style — Journal of the Australian Mathematical Society has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Diverse Scientific and Economic Studies Advanced Topics in Algebra Educational Robotics and Engineering Finite Group Theory Research Rings, Modules, and Algebras |
| ISSN | 1446-7887 |
| Citation impact (2-yr) | 0.31 |
| h-index | 49 |
| i10-index | 495 |
| Total citations | 16,846 |
| Top institutions publishing here | Australian National University |
| Journal website | journals.cambridge.org |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in Journal of the Australian Mathematical Society per year
Citation impact of Journal of the Australian Mathematical Society by publication year
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Most-cited papers in Journal of the Australian Mathematical Society
Abstract We show that any pseudo MV-algebra is isomorphic with an interval Γ( G, u ), where G is an ℓ-group not necessarily Abelian with a strong unit u . In addition, we prove that the category of unital ℓ-groups is categorically equivalent with the category of pseudo MV-algebras. Since pseudo MV-algebras are a non-commutative…
Let G be a group, and associate with G a graph 1 γ = Γ ( G ) as follows: the vertices of Γ are the elements of G , and two vertices g, h of Γ are joined by an undirected edge if, and only if, g and h do not commute as elements…
Abstract The structure of a 0-Hecke algebra H of type ( W, R ) over a field is examined. H has 2 n distinct irreducible representations, where n = ∣ R ∣, all of which are one-dimensional, and correspond in a natural way with subsets of R. H can be written as a direct sum…
Abstract Additive perturbation results for the generalized Drazin inverse of Banach space operators are presented. Precisely, if A d denotes the generalized Drazin inverse of a bounded linear operator A on an arbitrary complex Banach space, then in some special cases (A + B) d is computed in terms of A d and B d…