Xu, Sanzhang; Wang, Dingguo; Benítez, Julio New characterizations for the weighted \((b, c)\)-inverse in rings and their applications. (English) Zbl 07733893 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 3, Paper No. 137, 9 p. (2023). MSC: 16W10 15A09 PDFBibTeX XMLCite \textit{S. Xu} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 3, Paper No. 137, 9 p. (2023; Zbl 07733893) Full Text: DOI
Xu, Sanzhang; Wang, Hongxing; Chen, Jianlong; Chen, Xiaofeng; Zhao, Tiwei Generalized WG inverse. (English) Zbl 1476.15007 J. Algebra Appl. 20, No. 5, Article ID 2150072, 12 p. (2021). MSC: 15A09 15A23 PDFBibTeX XMLCite \textit{S. Xu} et al., J. Algebra Appl. 20, No. 5, Article ID 2150072, 12 p. (2021; Zbl 1476.15007) Full Text: DOI
Xu, S. Z.; Chen, J. L.; Benítez, J. Partial orders based on the CS decomposition. (English) Zbl 1455.15002 Ukr. Math. J. 72, No. 8, 1294-1313 (2021) and Ukr. Mat. Zh. 72, No. 8, 1119-1133 (2020). MSC: 15A23 15A10 PDFBibTeX XMLCite \textit{S. Z. Xu} et al., Ukr. Math. J. 72, No. 8, 1294--1313 (2021; Zbl 1455.15002) Full Text: DOI Link
Mosić, Dijana; Xu, Sanzhang; Benítez, Julio Further results of special elements in rings with involution. (English) Zbl 1499.16096 Filomat 34, No. 10, 3381-3393 (2020). MSC: 16U90 16W10 PDFBibTeX XMLCite \textit{D. Mosić} et al., Filomat 34, No. 10, 3381--3393 (2020; Zbl 1499.16096) Full Text: DOI
Xu, Sanzhang; Chen, Jianlong; Mosić, Dijana The \((j,m)\)-core inverse in rings with involution. (English) Zbl 1499.16101 Hacet. J. Math. Stat. 49, No. 5, 1676-1685 (2020). MSC: 16U90 16W10 PDFBibTeX XMLCite \textit{S. Xu} et al., Hacet. J. Math. Stat. 49, No. 5, 1676--1685 (2020; Zbl 1499.16101) Full Text: DOI
Chen, Jianlong; Mosić, Dijana; Xu, Sanzhang On a new generalized inverse for Hilbert space operators. (English) Zbl 1492.47002 Quaest. Math. 43, No. 9, 1331-1348 (2020). Reviewer: Nacib Gurgel Albuquerque (João Pessoa) MSC: 47A05 47B02 PDFBibTeX XMLCite \textit{J. Chen} et al., Quaest. Math. 43, No. 9, 1331--1348 (2020; Zbl 1492.47002) Full Text: DOI
Xu, Sanzhang; Chen, Jianlong; Mosić, Dijana New characterizations of the CMP inverse of matrices. (English) Zbl 1452.15001 Linear Multilinear Algebra 68, No. 4, 790-804 (2020). Reviewer: Kamran Sharifi (Shahrood) MSC: 15A09 15A10 15A03 15A24 PDFBibTeX XMLCite \textit{S. Xu} et al., Linear Multilinear Algebra 68, No. 4, 790--804 (2020; Zbl 1452.15001) Full Text: DOI
Benítez, Julio; Boasso, Enrico; Xu, Sanzhang On the continuity and differentiability of the (dual) core inverse in \(C^*\)-algebras. (English) Zbl 1448.46044 Linear Multilinear Algebra 68, No. 4, 686-709 (2020). MSC: 46L05 15A09 PDFBibTeX XMLCite \textit{J. Benítez} et al., Linear Multilinear Algebra 68, No. 4, 686--709 (2020; Zbl 1448.46044) Full Text: DOI arXiv
Xu, Sanzhang; Chen, Jianlong The Moore-Penrose inverse in rings with involution. (English) Zbl 1513.16052 Filomat 33, No. 18, 5791-5802 (2019). MSC: 16U90 PDFBibTeX XMLCite \textit{S. Xu} and \textit{J. Chen}, Filomat 33, No. 18, 5791--5802 (2019; Zbl 1513.16052) Full Text: DOI arXiv
Chen, Jianlong; Xu, Sanzhang; Benítez, Julio; Chen, Xiaofeng Rank equalities related to a class of outer generalized inverse. (English) Zbl 1499.15007 Filomat 33, No. 17, 5611-5622 (2019). MSC: 15A09 15A03 PDFBibTeX XMLCite \textit{J. Chen} et al., Filomat 33, No. 17, 5611--5622 (2019; Zbl 1499.15007) Full Text: DOI
Li, Tingting; Chen, Jianlong; Wang, Dingguo; Xu, Sanzhang Core and dual core inverses of a sum of morphisms. (English) Zbl 1513.16068 Filomat 33, No. 10, 2931-2941 (2019). MSC: 16W10 15A09 PDFBibTeX XMLCite \textit{T. Li} et al., Filomat 33, No. 10, 2931--2941 (2019; Zbl 1513.16068) Full Text: DOI arXiv
Xu, Sanzhang Core invertibility of triangular matrices over a ring. (English) Zbl 1433.15009 Indian J. Pure Appl. Math. 50, No. 4, 837-847 (2019). MSC: 15A09 15B33 16U90 PDFBibTeX XMLCite \textit{S. Xu}, Indian J. Pure Appl. Math. 50, No. 4, 837--847 (2019; Zbl 1433.15009) Full Text: DOI
Wang, Wenjie; Xu, Sanzhang; Benítez, Julio Rank equalities related to the generalized inverses \(A^{\Vert (B_1,C_1)}\), \(D^{\Vert(B_2,C_2)}\) of two matrices \(A\) and \(D\). (English) Zbl 1425.15004 Symmetry 11, No. 4, Paper No. 539, 10 p. (2019). MSC: 15A09 15A03 PDFBibTeX XMLCite \textit{W. Wang} et al., Symmetry 11, No. 4, Paper No. 539, 10 p. (2019; Zbl 1425.15004) Full Text: DOI
Xu, Sanzhang; Chen, Jianlong; Benítez, Julio EP elements in rings with involution. (English) Zbl 1432.16035 Bull. Malays. Math. Sci. Soc. (2) 42, No. 6, 3409-3426 (2019). MSC: 16W10 16U90 PDFBibTeX XMLCite \textit{S. Xu} et al., Bull. Malays. Math. Sci. Soc. (2) 42, No. 6, 3409--3426 (2019; Zbl 1432.16035) Full Text: DOI arXiv Link
Xu, Sanzhang; Chen, Jianlong; Benítez, Julio; Wang, Dingguo Centralizer’s applications to the \((b, c)\)-inverses in rings. (English) Zbl 1432.16034 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 1739-1746 (2019). MSC: 16U90 15A09 PDFBibTeX XMLCite \textit{S. Xu} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 1739--1746 (2019; Zbl 1432.16034) Full Text: DOI Link
Xu, Sanzhang; Chen, Jianlong; Benitez, Julio; Wang, Dingguo Generalized core inverses of matrices. (English) Zbl 1438.15011 Miskolc Math. Notes 20, No. 1, 565-584 (2019). MSC: 15A09 15A23 PDFBibTeX XMLCite \textit{S. Xu} et al., Miskolc Math. Notes 20, No. 1, 565--584 (2019; Zbl 1438.15011) Full Text: DOI arXiv
Xu, Sanzhang; Chen, Jianlong; Mosić, Dijana On characterizations of special elements in rings with involution. (English) Zbl 1403.16037 Chin. Ann. Math., Ser. B 40, No. 1, 65-78 (2019). MSC: 16W10 15A09 PDFBibTeX XMLCite \textit{S. Xu} et al., Chin. Ann. Math., Ser. B 40, No. 1, 65--78 (2019; Zbl 1403.16037) Full Text: DOI
Xu, Sanzhang; Chen, Jianlong; Benítez, Julio Projections for generalized inverses. (English) Zbl 1390.15016 Linear Multilinear Algebra 66, No. 8, 1593-1605 (2018). MSC: 15A09 16W10 16U60 PDFBibTeX XMLCite \textit{S. Xu} et al., Linear Multilinear Algebra 66, No. 8, 1593--1605 (2018; Zbl 1390.15016) Full Text: DOI Link
Xu, Sanzhang; Benítez, Julio Existence criteria and expressions of the \((b,c)\)-inverse in rings and their applications. (English) Zbl 1384.16029 Mediterr. J. Math. 15, No. 1, Paper No. 14, 11 p. (2018). MSC: 16W10 15A09 PDFBibTeX XMLCite \textit{S. Xu} and \textit{J. Benítez}, Mediterr. J. Math. 15, No. 1, Paper No. 14, 11 p. (2018; Zbl 1384.16029) Full Text: DOI arXiv Link
Xu, Sanzhang; Chen, Jianlong; Zhang, Xiaoxiang New characterizations for core inverses in rings with involution. (English) Zbl 1379.16029 Front. Math. China 12, No. 1, 231-246 (2017). MSC: 16W10 16U60 15A09 PDFBibTeX XMLCite \textit{S. Xu} et al., Front. Math. China 12, No. 1, 231--246 (2017; Zbl 1379.16029) Full Text: DOI arXiv