Advanced search
Publication Cover
Communications in Algebra Volume 33, 2005 - Issue 9
Submit an article Journal homepage
196
Views
37
CrossRef citations to date
0
Altmetric
Original Articles

Outer Generalized Inverses in Rings

Dragan S. Djordjević Department of Mathematics, Faculty of Science and Mathematics, University of Niš, Serbia and MontenegroCorrespondence[email protected]
&
Yimin Wei Department of Mathematics and Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Shanghai, P.R. China
Pages 3051-3060 | Received 15 Apr 2004, Accepted 03 Dec 2005, Published online: 21 Oct 2011

Citations (37)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (8)

Ruifei Kuang & Chunyuan Deng. (2023) Common properties among various generalized inverses and constrained binary relations. Linear and Multilinear Algebra 71:8, pages 1295-1322.
Read now
Ratikanta Behera, Dijana Mosić, Jajati Kesahri Sahoo & Predrag S. Stanimirović. (2022) Weighted inner inverse for rectangular matrices. Quaestiones Mathematicae 45:1, pages 11-39.
Read now
Dijana Mosić, Chunyuan Deng & Haifeng Ma. (2018) On a weighted core inverse in a ring with involution. Communications in Algebra 46:6, pages 2332-2345.
Read now
Yuanyuan Ke, Dragana S. Cvetković-Ilić, Jianlong Chen & Jelena Višnjić. (2018) New results on (b, c)–inverses. Linear and Multilinear Algebra 66:3, pages 447-458.
Read now
Gabriel Kantún-Montiel. (2014) Outer generalized inverses with prescribed ideals. Linear and Multilinear Algebra 62:9, pages 1187-1196.
Read now
Guifen Zhuang, Jianlong Chen, Dragana S. Cvetković-Ilić & Yimin Wei. (2012) Additive property of Drazin invertibility of elements in a ring. Linear and Multilinear Algebra 60:8, pages 903-910.
Read now
Biljana Načevska & DraganS. Djordjević. (2011) Inner Generalized Inverses with Prescribed Idempotents. Communications in Algebra 39:2, pages 634-646.
Read now
Yaoming Yu & Yimin Wei. (2009) The Representation and Computational Procedures for the Generalized Inverse of an Operator A in Hilbert Spaces. Numerical Functional Analysis and Optimization 30:1-2, pages 168-182.
Read now

Articles from other publishers (29)

Miroslav Ćirić, Jelena Ignjatović & Predrag Stanimirović. (2023) Outer inverses in semigroups belonging to the prescribed Green’s equivalence classes. Semigroup Forum 107:2, pages 251-293.
Crossref
Bo Jiang & Yongge Tian. (2020) Linear and multilinear functional identities in a prime ring with applications. Journal of Algebra and Its Applications 20:11.
Crossref
Burcu Ungor, Sait Halicioglu & Abdullah Harmanci. (2019) The direct sum order in regular modules. Journal of Algebra and Its Applications 19:09, pages 2050178.
Crossref
Yongge Tian. (2020) Miscellaneous equalities for idempotent matrices with applications. Open Mathematics 18:1, pages 671-714.
Crossref
Dijana Mosić. (2020) Representations for the image-kernel ( p , q )-inverses of block matrices in rings . Georgian Mathematical Journal 27:2, pages 297-305.
Crossref
D. Sukumar & S. Veeramani. (2017) Level sets of $$(p,e-p)$$(p,e-p) outer generalized pseudo spectrum. The Journal of Analysis 28:1, pages 57-70.
Crossref
Dijana Mosić & Dragan S. Djordjević. (2019) Weighted outer inverse. Monatshefte für Mathematik 188:2, pages 297-307.
Crossref
Dijana Mosić. (2015) Characterizations of the Image-Kernel (p, q)-Inverses. Bulletin of the Malaysian Mathematical Sciences Society 41:1, pages 91-104.
Crossref
Long Wang, Nieves Castro-Gonzalez & Jianlong Chen. (2018) Characterizations of Outer Generalized Inverses. Canadian Mathematical Bulletin 60:4, pages 861-871.
Crossref
Dijana Mosić. (2017) Reflexive–EP Elements in Rings. Bulletin of the Malaysian Mathematical Sciences Society 40:2, pages 655-664.
Crossref
J. Chen, Y. Ke & D. Mosić. (2016) The reverse order law of the (b, c)-inverse in semigroups. Acta Mathematica Hungarica 151:1, pages 181-198.
Crossref
Yuanyuan Ke & Jianlong Chen. (2016) The Bott–Duffin (e,f)-inverses and their applications. Linear Algebra and its Applications 489, pages 61-74.
Crossref
Chunyuan Deng, Anqi Yu & Yimin Wei. (2015) Characterizations and representations of the (P, Q)-outer generalized inverse. Applied Mathematics and Computation 269, pages 432-442.
Crossref
Shwetabh Srivastava & Dharmendra K. Gupta. (2014) A new representation for . Applied Mathematics and Computation 243, pages 514-521.
Crossref
Dijana Mosić & Dragan S. Djordjević. (2014) Inner image-kernel -inverses in rings. Applied Mathematics and Computation 239, pages 144-152.
Crossref
Guang-Jing Song & Shaowen Yu. (2014) The block independence in the generalized inverse for some ordered matrices and applications . Applied Mathematics and Computation 232, pages 399-410.
Crossref
Yimin Wei. 2013. Handbook of Linear Algebra, Second Edition. Handbook of Linear Algebra, Second Edition 445 469 .
Jianbing Cao & Yifeng Xue. (2013) The Quasi-Linear Operator Outer Generalized Inverse with Prescribed Range and Kernel in Banach Spaces. Journal of Operators 2013, pages 1-7.
Crossref
Qianglian Huang, Lanping Zhu & Yueyu Jiang. (2012) On stable perturbations for outer inverses of linear operators in Banach spaces. Linear Algebra and its Applications 437:7, pages 1942-1954.
Crossref
Guang-Jing Song. (2012) Determinantal representation of the generalized inverses over the quaternion skew field with applications. Applied Mathematics and Computation 219:2, pages 656-667.
Crossref
Guang-Jing Song. (2011) Determinantal representations of the generalized inverses $A_{T,S}^{(2)}$ over the quaternion skew field with applications. Journal of Applied Mathematics and Computing 39:1-2, pages 201-220.
Crossref
Xiaoji Liu & Shaowu Huang. (2012) Proper Splitting for the Generalized Inverse and Its Application on Banach Spaces . Abstract and Applied Analysis 2012, pages 1-9.
Crossref
Guang-Jing Song & Qing-Wen Wang. (2011) Condensed Cramer rule for some restricted quaternion linear equations. Applied Mathematics and Computation 218:7, pages 3110-3121.
Crossref
Guang-Jing Song, Qing-Wen Wang & Hai-Xia Chang. (2011) Cramer rule for the unique solution of restricted matrix equations over the quaternion skew field. Computers & Mathematics with Applications 61:6, pages 1576-1589.
Crossref
Qingxiang Xu & Xiaobo Zhang. (2010) THE GENERALIZED INVERSES A (1,2) T,S OF THE ADJOINTABLE OPERATORS ON THE HILBERT C ^* -MODULES . Journal of the Korean Mathematical Society 47:2, pages 363-372.
Crossref
Xiaoji Liu, Yaoming Yu & Chunmei Hu. (2009) The iterative methods for computing the generalized inverse of the bounded linear operator between Banach spaces. Applied Mathematics and Computation 214:2, pages 391-410.
Crossref
Dragana Cvetkovic ILic, Xiaoji Liu & Jin Zhong. (2009) On the outer generalized inverse in Banach algebra. Applied Mathematics and Computation 209:2, pages 191-196.
Crossref
Biljana Načevska. (2009) Iterative methods for computing generalized inverses and splittings of operators. Applied Mathematics and Computation 208:1, pages 186-188.
Crossref
Naimin Zhang & Yimin Wei. (2008) A note on the perturbation of an outer inverse. Calcolo 45:4, pages 263-273.
Crossref

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.