Generalized inverses and their relations with clean decompositions
From MaRDI portal
Publication:5230098
DOI10.1142/S0219498819501330zbMath1453.16039OpenAlexW2883745732WikidataQ129562008 ScholiaQ129562008MaRDI QIDQ5230098
Huihui Zhu, Pedro Patrício, Honglin Zou
Publication date: 20 August 2019
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219498819501330
Drazin inverseMoore-Penrose inversegroup inversespecial clean decompositionstrongly clean decomposition
Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Generalized inverses (associative rings and algebras) (16U90)
Related Items (3)
Special clean elements in rings ⋮ Characterizations for the n-strong Drazin invertibility in a ring ⋮ Certain additive decompositions in a noncommutative ring
Cites Work
- Unnamed Item
- Unnamed Item
- Lifting units in clean rings.
- \(*\)-clean rings; some clean and almost clean Baer \(*\)-rings and von Neumann algebras.
- Rings in which elements are uniquely the sum of an idempotent and a unit that commute.
- Centralizer's applications to the inverse along an element
- Drazin invertibility for matrices over an arbitrary ring
- Classes of almost clean rings.
- Generalized inverses of a factorization in a ring with involution
- A class of outer generalized inverses
- Nil clean rings.
- A CHARACTERIZATION OF UNIT REGULAR RINGS
- Further results on the inverse along an element in semigroups and rings
- Pseudo-Inverses in Associative Rings and Semigroups
- Lifting Idempotents and Exchange Rings
- Strongly clean rings and fitting's lemma
- The group inverse of a companion matrix
- Elements of rings with equal spectral idempotents
- Several characterizations for generalized inverses in a ring
This page was built for publication: Generalized inverses and their relations with clean decompositions