Advanced search
Publication Cover
Linear and Multilinear Algebra Volume 64, 2016 - Issue 5
Submit an article Journal homepage
344
Views
10
CrossRef citations to date
0
Altmetric
Articles

The inverse along a product and its applications

Huihui ZhuDepartment of Mathematics, Southeast University, Nanjing, China.View further author information
,
Pedro PatrícioCMAT-Centro de Matemática and Departamento de Matemática e Aplicações, Universidade do Minho, Braga, Portugal.View further author information
,
Jianlong ChenDepartment of Mathematics, Southeast University, Nanjing, China.Correspondence[email protected]
View further author information
&
Yulin ZhangCMAT-Centro de Matemática and Departamento de Matemática e Aplicações, Universidade do Minho, Braga, Portugal.View further author information
Pages 834-841 | Received 04 Dec 2014, Accepted 03 Jun 2015, Published online: 06 Jul 2015

References

  • Green JA. On the structure of semigroups. Ann. Math. 1951;54:163–172.
  • Mary X. On generalized inverses and Green’s relations. Linear Algebra Appl. 2011;434:1836–1844.
  • Mary X, Patrício P. Generalized inverses modulo ℋ in semigroups and rings. Linear Multilinear Algebra. 2013;61:886–891.
  • Mary X, Patrício P. The inverse along a lower triangular matrix. Appl. Math. Comput. 2012;219:1130–1135.
  • Mary X. Natural generalized inverse and core of an element in semigroups, rings and Banach and operator algebras. Eur. J. Pure Appl. Math. 2013;6:413–427.
  • Rakić DS, Dinčić NC, Djordjević DS. Group. Moore-Penrose, core and dual core inverse in rings with involution, Linear Algebra Appl. 2014;463:115–133.
  • Jacobson N. The radical and semi-simplicity for arbitrary rings. Amer. J. Math. 1945;67:300–320.
  • Patrício P, Puystjens R. Generalized invertibility in two semigroups of a ring. Linear Algebra Appl. 2004;377:125–139.
  • Patrício P, Puystjens R. About the von Neumann regularity of triangular block matrices. Linear Algebra Appl. 2001;332--334:485–502.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.