Displaying similar documents to “On regular elements in an incline.”

On generalized inverses in C*-algebras

Robin Harte, Mostafa Mbekhta (1992)

Studia Mathematica

Similarity:

We investigate when a C*-algebra element generates a closed ideal, and discuss Moore-Penrose and commuting generalized inverses.

Exchange rings in which all regular elements are one-sided unit-regular

Huanyin Chen (2008)

Czechoslovak Mathematical Journal

Similarity:

Let R be an exchange ring in which all regular elements are one-sided unit-regular. Then every regular element in R is the sum of an idempotent and a one-sided unit. Furthermore, we extend this result to exchange rings satisfying related comparability.

Adjoint regular rings.

Heatherly, Henry E., Tucci, Ralph P. (2002)

International Journal of Mathematics and Mathematical Sciences

Similarity:

On the Drazin index of regular elements

Pedro Patrício, António Costa (2009)

Open Mathematics

Similarity:

It is known that the existence of the group inverse a # of a ring element a is equivalent to the invertibility of a 2 a − + 1 − aa −, independently of the choice of the von Neumann inverse a − of a. In this paper, we relate the Drazin index of a to the Drazin index of a 2 a − + 1 − aa −. We give an alternative characterization when considering matrices over an algebraically closed field. We close with some questions and remarks.

On unit-regular ideals.

Chen, Huanyin, Chen, Miaosen (2003)

The New York Journal of Mathematics [electronic only]

Similarity: