Semi-central Bott–Duffin $(e,f)$-inverses

Authors

  • Li Fang School of Microelectronics and Data Science, Anhui University of Technology, Maanshan, China
  • Liang Zhao School of Microelectronics and Data Science, Anhui University of Technology, Maanshan, China

DOI:

https://doi.org/10.3842/umzh.v78i3-4.9380

Keywords:

semi-central Bott-Duffin (e,f)-inverse, Bott-Duffin (e,f)-inverse, matrix

Abstract

UDC 512.552

We study Bott–Duffin $(e,f)$-inverses in the context of left and right semi-central idempotents. A new class of generalized inverses named semi-central Bott–Duffin $(e,f)$-inverses is introduced and studied.  An example is given to show that the Bott–Duffin $(e,f)$-inverses are not necessarily semi-central Bott–Duffin $(e,f)$-inverses. It is shown that the semi-central Bott–Duffin $(e,f)$-inverses exhibit additional properties beyond the properties of general Bott–Duffin $(e,f)$-inverses. As applications, we examine semi-central Bott–Duffin $(e,f)$-inverses for several classes of matrices.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 78, No. 3-4, 2026.

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Published

28.03.2026

Issue

Vol. 78 No. 3-4 (2026)

Section

Research articles