THE LINK BETWEEN REGULARITY AND STRONG-PI-REGULARITY

DOI10.1017/S1446788710001448zbMath1204.15015OpenAlexW2134037823WikidataQ57439339 ScholiaQ57439339MaRDI QIDQ3164544

Pedro Patrício, Robert E. Hartwig

Publication date: 28 October 2010

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788710001448

zbMATH Keywords

Drazin inversegroup inverseinner inversestrongly pi-regular

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (12)

Unnamed Item ⋮ Some regular sums ⋮ Inner inverses and inner annihilators in rings. ⋮ Special clean elements in rings ⋮ Generalized inverses: uniqueness proofs and three new classes ⋮ New extensions of Cline’s formula for generalized inverses ⋮ Characterizations for the n-strong Drazin invertibility in a ring ⋮ The group inverse of the nivellateur ⋮ A class of Drazin inverses in rings ⋮ Jacobson pairs and Bott-Duffin decompositions in rings ⋮ Further results on common properties of the products ac and bd ⋮ Special elements in a ring related to Drazin inverses

Cites Work

• On the Drazin index of regular elements
• Drazin invertibility for matrices over an arbitrary ring
• Pseudo-Inverses in Associative Rings and Semigroups
• GENERALIZED INVERSES OF A SUM IN RINGS
• More on the Souriau–Frame Algorithm and the Drazin Inverse
• The group inverse of a companion matrix

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