Sheng, Yuqiu; Cao, Chongguang; Tang, Xiaomin Further results on linear maps preserving idempotence of tensor products of matrices. (English) Zbl 1463.15057 J. Nat. Sci. Heilongjiang Univ. 37, No. 2, 160-166 (2020). MSC: 15A86 15A04 15A69 PDFBibTeX XMLCite \textit{Y. Sheng} et al., J. Nat. Sci. Heilongjiang Univ. 37, No. 2, 160--166 (2020; Zbl 1463.15057) Full Text: DOI
Zhang, Jun; Cao, Chongguang On classical adjoint-commuting injective mappings between upper triangular matrix algebras. (Chinese. English summary) Zbl 1389.15039 Pure Appl. Math. 33, No. 2, 204-210 (2017). MSC: 15A30 15A86 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{C. Cao}, Pure Appl. Math. 33, No. 2, 204--210 (2017; Zbl 1389.15039) Full Text: DOI
Fu, Li; Yan, Panpan; Cao, Chongguang Induced maps on upper triangular matrices over fields. (Chinese. English summary) Zbl 1374.15027 Pure Appl. Math. 32, No. 6, 630-639 (2016). MSC: 15A27 15A30 15A21 PDFBibTeX XMLCite \textit{L. Fu} et al., Pure Appl. Math. 32, No. 6, 630--639 (2016; Zbl 1374.15027)
Cao, Chongguang; Wang, Yingchun; Sheng, Yuqiu Group inverses for some \(2 \times 2\) block matrices over rings. (English) Zbl 1367.15003 Front. Math. China 11, No. 3, 521-538 (2016). Reviewer: Chen Sheng (Harbin) MSC: 15A09 16U30 13G05 65F20 PDFBibTeX XMLCite \textit{C. Cao} et al., Front. Math. China 11, No. 3, 521--538 (2016; Zbl 1367.15003) Full Text: DOI
Yan, Panpan; Cao, Chongguang Induced maps preserving inverses of two kinds of matrices over fields. (Chinese. English summary) Zbl 1363.15045 Pure Appl. Math. 32, No. 2, 149-159 (2016). MSC: 15A86 15A09 15B33 15B57 PDFBibTeX XMLCite \textit{P. Yan} and \textit{C. Cao}, Pure Appl. Math. 32, No. 2, 149--159 (2016; Zbl 1363.15045) Full Text: DOI
Zhang, Jun; Fu, Li; Cao, Chongguang Induced maps preserving upper triangular idempotent matrices over skew fields. (Chinese. English summary) Zbl 1363.15046 Pure Appl. Math. 31, No. 6, 628-635 (2015). MSC: 15A86 15B33 PDFBibTeX XMLCite \textit{J. Zhang} et al., Pure Appl. Math. 31, No. 6, 628--635 (2015; Zbl 1363.15046) Full Text: DOI
Yang, Li; Ben, Xuezhi; Zhang, Ming; Cao, Chongguang Induced maps on matrices over fields. (English) Zbl 1474.15008 Abstr. Appl. Anal. 2014, Article ID 596756, 5 p. (2014). MSC: 15A03 47B47 PDFBibTeX XMLCite \textit{L. Yang} et al., Abstr. Appl. Anal. 2014, Article ID 596756, 5 p. (2014; Zbl 1474.15008) Full Text: DOI
Cao, Chongguang; Ge, Yanling; Wang, Yingchun; Zhang, Hanyu Group inverse for two classes of \(2\times 2\) block matrices over rings. (English) Zbl 1312.15004 Comput. Appl. Math. 33, No. 2, 469-479 (2014). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A09 15B33 16U30 PDFBibTeX XMLCite \textit{C. Cao} et al., Comput. Appl. Math. 33, No. 2, 469--479 (2014; Zbl 1312.15004) Full Text: DOI
Cao, Chongguang; Zhang, Hanyu; Ge, Yanling Further results on the group inverse of some anti-triangular block matrices. (English) Zbl 1318.15002 J. Appl. Math. Comput. 46, No. 1-2, 169-179 (2014). Reviewer: Chen Sheng (Harbin) MSC: 15A09 16U30 65F20 PDFBibTeX XMLCite \textit{C. Cao} et al., J. Appl. Math. Comput. 46, No. 1--2, 169--179 (2014; Zbl 1318.15002) Full Text: DOI
Ge, Yanling; Zhang, Hanyu; Sheng, Yuqiu; Cao, Chongguang Group inverse for two classes of \(2\times 2\) anti-triangular block matrices over right Ore domains. (English) Zbl 1298.15008 J. Appl. Math. Comput. 42, No. 1-2, 183-191 (2013). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A09 13G05 16U30 65F20 PDFBibTeX XMLCite \textit{Y. Ge} et al., J. Appl. Math. Comput. 42, No. 1--2, 183--191 (2013; Zbl 1298.15008) Full Text: DOI
Song, Xiaofei; Cao, Chongguang; Zheng, Baodong A note on \(k\)-potence preservers on matrix spaces over complex field. (English) Zbl 1291.15069 Abstr. Appl. Anal. 2013, Article ID 581683, 8 p. (2013). MSC: 15A86 PDFBibTeX XMLCite \textit{X. Song} et al., Abstr. Appl. Anal. 2013, Article ID 581683, 8 p. (2013; Zbl 1291.15069) Full Text: DOI
Sheng, Yuqiu; Ge, Yanling; Zhang, Hanyu; Cao, Chongguang Group inverses for a class of \(2{\times}2\) block matrices over rings. (English) Zbl 1288.15008 Appl. Math. Comput. 219, No. 17, 9340-9346 (2013). MSC: 15A09 PDFBibTeX XMLCite \textit{Y. Sheng} et al., Appl. Math. Comput. 219, No. 17, 9340--9346 (2013; Zbl 1288.15008) Full Text: DOI
Cao, C. G.; Ge, Y. L.; Yao, H. M. Maps preserving classical adjoint of products of two matrices. (English) Zbl 1290.15016 Linear Multilinear Algebra 61, No. 12, 1593-1604 (2013). Reviewer: Wai-Shun Cheung (Hong Kong) MSC: 15A86 15A03 15A04 PDFBibTeX XMLCite \textit{C. G. Cao} et al., Linear Multilinear Algebra 61, No. 12, 1593--1604 (2013; Zbl 1290.15016) Full Text: DOI
Cao, Chongguang; Zhao, Chunjie Group inverse for a class of \(2\times 2\) anti-triangular block matrices over skew fields. (English) Zbl 1295.15003 J. Appl. Math. Comput. 40, No. 1-2, 87-93 (2012). MSC: 15A09 15B33 PDFBibTeX XMLCite \textit{C. Cao} and \textit{C. Zhao}, J. Appl. Math. Comput. 40, No. 1--2, 87--93 (2012; Zbl 1295.15003) Full Text: DOI
Gu, Dehong; Cao, Chongguang The index and the Drazin inverse of partitioned matrices over a skew field. (English) Zbl 1249.15025 J. Nat. Sci. Heilongjiang Univ. 28, No. 2, 196-199 (2011). MSC: 15B33 15A09 15A03 15A23 PDFBibTeX XMLCite \textit{D. Gu} and \textit{C. Cao}, J. Nat. Sci. Heilongjiang Univ. 28, No. 2, 196--199 (2011; Zbl 1249.15025)
Cao, Chongguang; Li, Jiamei A note on the group inverse of some \(2 \times 2\) block matrices over skew fields. (English) Zbl 1222.15004 Appl. Math. Comput. 217, No. 24, 10271-10277 (2011). Reviewer: Grozio Stanilov (Sofia) MSC: 15A09 15B33 PDFBibTeX XMLCite \textit{C. Cao} and \textit{J. Li}, Appl. Math. Comput. 217, No. 24, 10271--10277 (2011; Zbl 1222.15004) Full Text: DOI
Xu, Jin-Li; Tang, Xiao-Min; Cao, Chong-Guang Idempotence-preserving maps between matrix spaces over fields of characteristic 2. (English) Zbl 1207.15031 Electron. J. Linear Algebra 21, 110-123 (2010). MSC: 15A86 15A04 15A30 PDFBibTeX XMLCite \textit{J.-L. Xu} et al., Electron. J. Linear Algebra 21, 110--123 (2010; Zbl 1207.15031) Full Text: DOI EuDML EMIS
Wang, Jinliang; Cao, Chongguang; Hui, Chunhong Maps on \(2\times 2\) upper triangular matrix algebras preserving \(k\)-potence. (English) Zbl 1212.15056 J. Nat. Sci. Heilongjiang Univ. 26, No. 2, 182-184, 189 (2009). MSC: 15A86 15A30 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Nat. Sci. Heilongjiang Univ. 26, No. 2, 182--184, 189 (2009; Zbl 1212.15056)
Tang, Xiaomin; Xu, Jinli; Cao, Chongguang Idempotence-presserving maps on matrix spaces over field of characteristic 2. (English) Zbl 1212.15055 J. Nat. Sci. Heilongjiang Univ. 26, No. 2, 141-149 (2009). MSC: 15A86 15A04 15A30 PDFBibTeX XMLCite \textit{X. Tang} et al., J. Nat. Sci. Heilongjiang Univ. 26, No. 2, 141--149 (2009; Zbl 1212.15055)
Cao, Chongguang; Li, Juyan Group inverses for matrices over a Bézout domain. (English) Zbl 1189.15005 Electron. J. Linear Algebra 18, 600-612 (2009). MSC: 15A09 PDFBibTeX XMLCite \textit{C. Cao} and \textit{J. Li}, Electron. J. Linear Algebra 18, 600--612 (2009; Zbl 1189.15005) Full Text: DOI EuDML EMIS
Yao, Hongmei; Cao, Chongguang; Zhang, Xian Additive preservers of idempotence and Jordan homorphisms between rings of square matrices. (English) Zbl 1187.15031 Acta Math. Sin., Engl. Ser. 25, No. 4, 639-648 (2009). Reviewer: Wu Jing (Fayetteville) MSC: 15A86 15A04 15B33 PDFBibTeX XMLCite \textit{H. Yao} et al., Acta Math. Sin., Engl. Ser. 25, No. 4, 639--648 (2009; Zbl 1187.15031) Full Text: DOI
Hu, Jing; Cao, Chongguang; Sheng, Chunhong Linear operators preserving \(M\)-\(P\) inverses of matrices on symmetric matrix over field of characteristic 2. (Chinese. English summary) Zbl 1199.47006 J. Nat. Sci. Heilongjiang Univ. 25, No. 4, 523-525 (2008). MSC: 47A05 15A30 PDFBibTeX XMLCite \textit{J. Hu} et al., J. Nat. Sci. Heilongjiang Univ. 25, No. 4, 523--525 (2008; Zbl 1199.47006)
Song, Liyan; Cao, Chongguang Representation for the group inverses of some block matrices. (Chinese. English summary) Zbl 1199.15022 J. Nat. Sci. Heilongjiang Univ. 25, No. 3, 416-417 (2008). MSC: 15A09 PDFBibTeX XMLCite \textit{L. Song} and \textit{C. Cao}, J. Nat. Sci. Heilongjiang Univ. 25, No. 3, 416--417 (2008; Zbl 1199.15022)
Sheng, Chunhong; Cao, Chongguang; Hu, Jing Linear preservers on complex Hermitian matrices. (Chinese. English summary) Zbl 1199.15085 J. Nat. Sci. Heilongjiang Univ. 25, No. 3, 358-362 (2008). MSC: 15A86 15A09 15B57 PDFBibTeX XMLCite \textit{C. Sheng} et al., J. Nat. Sci. Heilongjiang Univ. 25, No. 3, 358--362 (2008; Zbl 1199.15085)
Yao, Hongmei; Cao, Chongguang Additive maps preserving matrix inverse between matrix spaces over fields. (Chinese. English summary) Zbl 1199.15087 J. Nat. Sci. Heilongjiang Univ. 25, No. 2, 225-228 (2008). MSC: 15A86 15A09 15B33 PDFBibTeX XMLCite \textit{H. Yao} and \textit{C. Cao}, J. Nat. Sci. Heilongjiang Univ. 25, No. 2, 225--228 (2008; Zbl 1199.15087)
Wu, Hai-Yan; Cao, Chong-Guang; Zhang, Wei Linear maps preserving M-P inverses of matrices between matrix spaces over fields. (English) Zbl 1172.15004 J. Appl. Math. Comput. 26, No. 1-2, 475-487 (2008). Reviewer: Fouad Zitan (Tetouan) MSC: 15A04 15A30 15A09 PDFBibTeX XMLCite \textit{H.-Y. Wu} et al., J. Appl. Math. Comput. 26, No. 1--2, 475--487 (2008; Zbl 1172.15004) Full Text: DOI
Song, Xiaofei; Cao, Chongguang A note on \(k\)-potence preserving maps. (English) Zbl 1151.15006 Linear Algebra Appl. 429, No. 7, 1579-1586 (2008). Reviewer: Rodica Covaci (Cluj-Napoca) MSC: 15A04 PDFBibTeX XMLCite \textit{X. Song} and \textit{C. Cao}, Linear Algebra Appl. 429, No. 7, 1579--1586 (2008; Zbl 1151.15006) Full Text: DOI
Tang, Xiao-Min; Xu, Jin-Li; Cao, Chong-Guang A note on idempotence-preserving maps. (English) Zbl 1153.15007 Linear Multilinear Algebra 56, No. 4, 399-414 (2008). Reviewer: Bojan Kuzma (Ljubljana) MSC: 15A04 15A30 PDFBibTeX XMLCite \textit{X.-M. Tang} et al., Linear Multilinear Algebra 56, No. 4, 399--414 (2008; Zbl 1153.15007) Full Text: DOI
Cao, Chongguang; Tang, Xiaomin; Huang, Liping Several applications of geometry of matrices in preserver problem. (Chinese. English summary) Zbl 1164.15301 J. Math. Res. Expo. 27, No. 4, 697-703 (2007). MSC: 15A04 51D20 15A03 15A30 16S50 PDFBibTeX XMLCite \textit{C. Cao} et al., J. Math. Res. Expo. 27, No. 4, 697--703 (2007; Zbl 1164.15301)
Wang, Jinliang; Cao, Chongguang Maps on \(2\times 2\) upper triangular matrix algebras preserving tripotence. (English) Zbl 1150.15320 J. Nat. Sci. Heilongjiang Univ. 24, No. 6, 822-824 (2007). MSC: 15A30 PDFBibTeX XMLCite \textit{J. Wang} and \textit{C. Cao}, J. Nat. Sci. Heilongjiang Univ. 24, No. 6, 822--824 (2007; Zbl 1150.15320)
Xu, Jin-Li; Cao, Chong-Guang; Tang, Xiao-Min Linear preservers of idempotence on triangular matrix spaces over any field. (English) Zbl 1171.15003 Int. Math. Forum 2, No. 45-48, 2305-2319 (2007). Reviewer: Fouad Zitan (Tetouan) MSC: 15A04 15A03 PDFBibTeX XMLCite \textit{J.-L. Xu} et al., Int. Math. Forum 2, No. 45--48, 2305--2319 (2007; Zbl 1171.15003) Full Text: DOI
Liu, Yu; Cao, Chongguang On some equalities about the rank of idempotent matrices on skew field. (Chinese. English summary) Zbl 1150.15323 J. Anhui Univ., Nat. Sci. 31, No. 1, 1-4 (2007). MSC: 15B33 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{C. Cao}, J. Anhui Univ., Nat. Sci. 31, No. 1, 1--4 (2007; Zbl 1150.15323)
Cao, Chongguang; Ma, Yuanjing Group inverses of three classes partitioned matrices. (Chinese. English summary) Zbl 1150.15307 J. Nat. Sci. Heilongjiang Univ. 24, No. 1, 24-26, 34 (2007). MSC: 15A09 15B57 PDFBibTeX XMLCite \textit{C. Cao} and \textit{Y. Ma}, J. Nat. Sci. Heilongjiang Univ. 24, No. 1, 24--26, 34 (2007; Zbl 1150.15307)
Cao, Chongguang; Yao, Hongmei A note an additive preserver of idempotence. (Chinese. English summary) Zbl 1150.15302 J. Nat. Sci. Heilongjiang Univ. 24, No. 2, 145-147 (2007). MSC: 15A04 15B57 PDFBibTeX XMLCite \textit{C. Cao} and \textit{H. Yao}, J. Nat. Sci. Heilongjiang Univ. 24, No. 2, 145--147 (2007; Zbl 1150.15302)
Cao, Chongguang; Huang, Fuming Power-preserving linear maps between matrix spaces. (Chinese. English summary) Zbl 1141.15301 J. Math. Res. Expo. 27, No. 2, 413-417 (2007). MSC: 15A04 PDFBibTeX XMLCite \textit{C. Cao} and \textit{F. Huang}, J. Math. Res. Expo. 27, No. 2, 413--417 (2007; Zbl 1141.15301)
Xu, Jinli; Cao, Chongguang Linear maps preserving group inverses of triangular matrices over a field of characteristic 2. (Chinese. English summary) Zbl 1141.15305 J. Math. Study 40, No. 2, 207-210 (2007). MSC: 15A04 15A09 PDFBibTeX XMLCite \textit{J. Xu} and \textit{C. Cao}, J. Math. Study 40, No. 2, 207--210 (2007; Zbl 1141.15305)
Cao, Chongguang; Tang, Xiaomin; Yang, Li The rank conditions such that \(AB\) and \(BA\) are similar and applications. (English) Zbl 1127.15010 Int. J. Algebra 1, No. 5-8, 283-292 (2007). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A21 15A09 PDFBibTeX XMLCite \textit{C. Cao} et al., Int. J. Algebra 1, No. 5--8, 283--292 (2007; Zbl 1127.15010) Full Text: DOI
Liu, Yu; Cao, Chong Guang Inequalities for the Hadamard product of positive semidefinite matrices. (Chinese. English summary) Zbl 1493.15101 Math. Pract. Theory 36, No. 4, 271-273 (2006). MSC: 15B48 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{C. G. Cao}, Math. Pract. Theory 36, No. 4, 271--273 (2006; Zbl 1493.15101)
Cao, Chongguang; Huang, Liping; Tang, Xiaomin Additive map preserving rank 2 on alternative matrices. (English) Zbl 1209.15006 Neilson, Samuel F. (ed.), New research on three-manifolds and mathematics. New York, NY: Nova Science Publishers (ISBN 1-60021-196-8). 87-95 (2006). MSC: 15A04 15A03 PDFBibTeX XMLCite \textit{C. Cao} et al., in: New research on three-manifolds and mathematics. New York, NY: Nova Science Publishers. 87--95 (2006; Zbl 1209.15006)
Cao, Chong-Guang; Tang, Xiao-Min Representation of the group inverse of some \(2\times2\) block matrices. (English) Zbl 1119.15002 Int. Math. Forum 1, No. 29-32, 1511-1517 (2006). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A09 15A21 15B57 PDFBibTeX XMLCite \textit{C.-G. Cao} and \textit{X.-M. Tang}, Int. Math. Forum 1, No. 29--32, 1511--1517 (2006; Zbl 1119.15002) Full Text: DOI
Cao, Chongguang; Wu, Haiyan Linear maps preserving group inverses of upper triangular matrices over fields. (Chinese. English summary) Zbl 1107.15001 J. Nat. Sci. Heilongjiang Univ. 23, No. 1, 18-20 (2006). MSC: 15A04 15A30 15A09 PDFBibTeX XMLCite \textit{C. Cao} and \textit{H. Wu}, J. Nat. Sci. Heilongjiang Univ. 23, No. 1, 18--20 (2006; Zbl 1107.15001)
Tang, Xiaomin; Cao, Chongguang; Huang, Liping Additive surjective maps preserving adjacency and their application. (Chinese. English summary) Zbl 1105.15003 J. Math. Study 39, No. 3, 315-321 (2006). MSC: 15A04 15A30 15B33 20G15 PDFBibTeX XMLCite \textit{X. Tang} et al., J. Math. Study 39, No. 3, 315--321 (2006; Zbl 1105.15003)
Liu, Yu; Cao, Chongguang Representation of the group inverses for two classes of block matrices. (Chinese. English summary) Zbl 1106.15005 J. Nat. Sci. Heilongjiang Univ. 23, No. 3, 413-414 (2006). MSC: 15A09 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{C. Cao}, J. Nat. Sci. Heilongjiang Univ. 23, No. 3, 413--414 (2006; Zbl 1106.15005)
Zhang, Xian; Cao, Chong-Guang Linear \(k\)-power/\(k\)-potent preservers between matrix spaces. (English) Zbl 1084.15009 Linear Algebra Appl. 412, No. 2-3, 373-379 (2006). Reviewer: Bojan Kuzma (Ljubljana) MSC: 15A04 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{C.-G. Cao}, Linear Algebra Appl. 412, No. 2--3, 373--379 (2006; Zbl 1084.15009) Full Text: DOI
Cao, Chongguang; Huang, Liping; Tang, Xiaomin Additive map preserving rank 2 on alternate matrices. (English) Zbl 1104.15002 Afr. Diaspora J. Math 3, No. 2, 107-113 (2005). Reviewer: Bojan Kuzma (Ljubljana) MSC: 15A04 15A03 PDFBibTeX XMLCite \textit{C. Cao} et al., Afr. Diaspora J. Math. 3, No. 2, 107--113 (2005; Zbl 1104.15002)
Ming Huangfu; Cao, Chongguang Linear maps preserving inverses of matrices on symmetric matrix spaces over fields. (Chinese. English summary) Zbl 1093.15005 J. Nat. Sci. Heilongjiang Univ. 22, No. 6, 816-818 (2005). MSC: 15A04 15A09 15A30 PDFBibTeX XMLCite \textit{Ming Huangfu} and \textit{C. Cao}, J. Nat. Sci. Heilongjiang Univ. 22, No. 6, 816--818 (2005; Zbl 1093.15005)
Tang, Xiao-Ming; Cao, Chong-Guang Linear maps preserving pairs of Hermitian matrices on which the rank is additive and applications. (English) Zbl 1083.15004 J. Appl. Math. Comput. 19, No. 1-2, 253-260 (2005). Reviewer: Bojan Kuzma (Ljubljana) MSC: 15A04 15B57 15A03 PDFBibTeX XMLCite \textit{X.-M. Tang} and \textit{C.-G. Cao}, J. Appl. Math. Comput. 19, No. 1--2, 253--260 (2005; Zbl 1083.15004) Full Text: DOI
Yang, Zhongpeng; Cao, Chongguang; Zhang, Xian A matrix inequality on Schur complements. (English) Zbl 1086.15021 J. Appl. Math. Comput. 18, No. 1-2, 321-328 (2005). Reviewer: Mihail M. Konstantinov (Sofia) MSC: 15A45 15A09 PDFBibTeX XMLCite \textit{Z. Yang} et al., J. Appl. Math. Comput. 18, No. 1--2, 321--328 (2005; Zbl 1086.15021) Full Text: DOI
Cao, Chongguang; Zhang, Xian Linear preservers between matrix modules over connected commutative rings. (English) Zbl 1088.15002 Linear Algebra Appl. 397, 355-366 (2005). Reviewer: Vito Abatangelo (Bari) MSC: 15A04 15B33 15A15 PDFBibTeX XMLCite \textit{C. Cao} and \textit{X. Zhang}, Linear Algebra Appl. 397, 355--366 (2005; Zbl 1088.15002) Full Text: DOI
Cao, Chong Guang; Zhang, Xian Power-preserving additive maps. (Chinese. English summary) Zbl 1481.15017 Adv. Math., Beijing 33, No. 1, 103-109 (2004). MSC: 15A30 PDFBibTeX XMLCite \textit{C. G. Cao} and \textit{X. Zhang}, Adv. Math., Beijing 33, No. 1, 103--109 (2004; Zbl 1481.15017)
Zhang, Xian; Cao, Chongguang Additive maps on generalized inverses of matrices over fields. (Chinese. English summary) Zbl 1137.15303 Acta Math. Sin. 47, No. 5, 1013-1018 (2004). MSC: 15A09 15A04 15B33 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{C. Cao}, Acta Math. Sin. 47, No. 5, 1013--1018 (2004; Zbl 1137.15303)
Hao, Lili; Cao, Chongguang Inverse-preserving linear maps of matrices. (Chinese. English summary) Zbl 1088.15501 J. Nat. Sci. Heilongjiang Univ. 21, No. 3, 28-29 (2004). MSC: 15A04 PDFBibTeX XMLCite \textit{L. Hao} and \textit{C. Cao}, J. Nat. Sci. Heilongjiang Univ. 21, No. 3, 28--29 (2004; Zbl 1088.15501)
Yao, Hongmei; Yang, Yaqin; Cao, Chongguang Maps on \(2\times 2\) special matrix spaces preserving idempotence. (English) Zbl 1081.15508 J. Nat. Sci. Heilongjiang Univ. 21, No. 4, 124-127 (2004). MSC: 15A04 15B57 PDFBibTeX XMLCite \textit{H. Yao} et al., J. Nat. Sci. Heilongjiang Univ. 21, No. 4, 124--127 (2004; Zbl 1081.15508)
Liu, Yu; Cao, Chongguang Drazin inverses for some partitoned matrices over skew fields. (English) Zbl 1081.15515 J. Nat. Sci. Heilongjiang Univ. 21, No. 4, 112-114 (2004). MSC: 15A09 15B33 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{C. Cao}, J. Nat. Sci. Heilongjiang Univ. 21, No. 4, 112--114 (2004; Zbl 1081.15515)
Zhang, Xian; Cao, Chongguang Additive rank one preserving operators on full matrix algebras. (English) Zbl 1081.15001 JP J. Algebra Number Theory Appl. 4, No. 3, 549-558 (2004). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15A04 15A03 15A30 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{C. Cao}, JP J. Algebra Number Theory Appl. 4, No. 3, 549--558 (2004; Zbl 1081.15001)
Cao, Chongguang; Tang, Xiaomin Linear maps preserving rank 2 on the space of alternate matrices and their applications. (English) Zbl 1088.15001 Int. J. Math. Math. Sci. 2004, No. 61-64, 3409-3417 (2004). Reviewer: Vito Abatangelo (Bari) MSC: 15A04 15A03 15A15 PDFBibTeX XMLCite \textit{C. Cao} and \textit{X. Tang}, Int. J. Math. Math. Sci. 2004, No. 61--64, 3409--3417 (2004; Zbl 1088.15001) Full Text: DOI EuDML
Cao, Chongguang; Chen, Tao Linear maps preserving tripotent matrices over fields. (Chinese. English summary) Zbl 1074.15003 J. Math. Study 37, No. 3, 299-303 (2004). Reviewer: Zhexian Wan (Beijing) MSC: 15A04 16S50 PDFBibTeX XMLCite \textit{C. Cao} and \textit{T. Chen}, J. Math. Study 37, No. 3, 299--303 (2004; Zbl 1074.15003)
Cao, Chong-Guang; Zhang, Xian Additive surjections preserving rank one and applications. (English) Zbl 1075.15007 Georgian Math. J. 11, No. 2, 209-217 (2004). Reviewer: Witold Wiȩsław (Wrocław) MSC: 15A04 15A03 15A30 16S50 PDFBibTeX XMLCite \textit{C.-G. Cao} and \textit{X. Zhang}, Georgian Math. J. 11, No. 2, 209--217 (2004; Zbl 1075.15007) Full Text: EuDML
Cao, Chongguang; Tang, Xiaomin Determinant preserving transformations on symmetric matrix spaces. (English) Zbl 1069.15004 Electron. J. Linear Algebra 11, 205-211 (2004). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15A04 15A03 15A15 PDFBibTeX XMLCite \textit{C. Cao} and \textit{X. Tang}, Electron. J. Linear Algebra 11, 205--211 (2004; Zbl 1069.15004) Full Text: DOI EuDML EMIS
Cao, Chongguang; Zhang, Xian; Tang, Xiaomin Reverse order law of group inverses of products of two matrices. (English) Zbl 1072.15004 Appl. Math. Comput. 158, No. 2, 489-495 (2004). Reviewer: Nestor Thome (Valencia) MSC: 15A09 PDFBibTeX XMLCite \textit{C. Cao} et al., Appl. Math. Comput. 158, No. 2, 489--495 (2004; Zbl 1072.15004) Full Text: DOI
Bu, Changjiang; Cao, Chongguang Additive maps preserving group inverses of matrics over fields. (Chinese. English summary) Zbl 1054.15003 J. Math. Res. Expo. 24, No. 3, 503-507 (2004). MSC: 15A04 15A09 PDFBibTeX XMLCite \textit{C. Bu} and \textit{C. Cao}, J. Math. Res. Expo. 24, No. 3, 503--507 (2004; Zbl 1054.15003)
Zhang, Xian; Cao, Chongguang Additive injective maps preserving idempotence and tripotence on the space of triangular matrices over fields. (Chinese. English summary) Zbl 1055.15006 J. Math., Wuhan Univ. 24, No. 4, 416-420 (2004). MSC: 15A04 15A30 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{C. Cao}, J. Math., Wuhan Univ. 24, No. 4, 416--420 (2004; Zbl 1055.15006)
Zhang, Xian; Cao, Chong-Guang Additive Moore-Penrose inverse preservers on full matrix algebras over fields of characteristic 3. (English) Zbl 1232.15004 Int. Math. J. 4, No. 5, 455-461 (2003). MSC: 15A09 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{C.-G. Cao}, Int. Math. J. 4, No. 5, 455--461 (2003; Zbl 1232.15004)
Zhang, Xian; Cao, Chong-Guang Additive group inverse preservers on full matrix algebras over fields of characteristic 3. (English) Zbl 1231.15016 Int. Math. J. 3, No. 11, 1159-1167 (2003). MSC: 15A30 15A09 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{C.-G. Cao}, Int. Math. J. 3, No. 11, 1159--1167 (2003; Zbl 1231.15016)
Tong, Xin; Cao, Chongguang Idempotent preserving linear operators from symmetric matrix spaces to all matrix spaces over a field. (Chinese. English summary) Zbl 1051.15004 J. Nat. Sci. Heilongjiang Univ. 20, No. 3, 25-28 (2003). MSC: 15A04 15A30 15A09 PDFBibTeX XMLCite \textit{X. Tong} and \textit{C. Cao}, J. Nat. Sci. Heilongjiang Univ. 20, No. 3, 25--28 (2003; Zbl 1051.15004)
Hao, Lili; Cao, Chongguang Linear operators in preserving group inverses of matrices. (Chinese. English summary) Zbl 1052.15003 J. Nat. Sci. Heilongjiang Univ. 20, No. 2, 32-34 (2003). MSC: 15A04 15A09 15A30 PDFBibTeX XMLCite \textit{L. Hao} and \textit{C. Cao}, J. Nat. Sci. Heilongjiang Univ. 20, No. 2, 32--34 (2003; Zbl 1052.15003)
Zhang, Xian; Cao, Chong-Guang Additive \(\{1,2\}\)-inverse preservers on spaces of symmetric matrices over fields of characteristic not 2. (English) Zbl 1065.15004 JP J. Algebra Number Theory Appl. 3, No. 3, 435-445 (2003). Reviewer: Vito Abatangelo (Bari) MSC: 15A04 15A09 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{C.-G. Cao}, JP J. Algebra Number Theory Appl. 3, No. 3, 435--445 (2003; Zbl 1065.15004)
Tang, Xiao-Min; Cao, Chong-Guang Additive operators preserving rank-additivity on triangular matrix algebra. (English) Zbl 1065.15003 JP J. Algebra Number Theory Appl. 3, No. 3, 405-413 (2003). Reviewer: Vito Abatangelo (Bari) MSC: 15A04 15A03 PDFBibTeX XMLCite \textit{X.-M. Tang} and \textit{C.-G. Cao}, JP J. Algebra Number Theory Appl. 3, No. 3, 405--413 (2003; Zbl 1065.15003)
Yang, Zhong-Peng; Cao, Chong-Guang; Tang, Xiao-Min Real solutions of the equation \(\Phi(X)= \frac {1}{n} J_n\). (English) Zbl 1044.15008 J. Appl. Math. Comput. 13, No. 1-2, 117-123 (2003). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 PDFBibTeX XMLCite \textit{Z.-P. Yang} et al., J. Appl. Math. Comput. 13, No. 1--2, 117--123 (2003; Zbl 1044.15008) Full Text: DOI EuDML
Tang, Xiao-Min; Cao, Chong-Guang Additive operators preserving rank-additivity on symmetry matrix spaces. (English) Zbl 1048.15004 J. Appl. Math. Comput. 14, No. 1-2, 115-122 (2003). Reviewer: Grosio Stanilov (Sofia) MSC: 15A04 15A03 15A30 PDFBibTeX XMLCite \textit{X.-M. Tang} and \textit{C.-G. Cao}, J. Appl. Math. Comput. 14, No. 1--2, 115--122 (2003; Zbl 1048.15004) Full Text: DOI
Tang, Xiaomin; Cao, Chongguang Linear operators preserving adjoint matrix on several spaces of matrices over domain. (Chinese. English summary) Zbl 1083.15041 J. Math. Res. Expo. 23, No. 3, 564-566 (2003). Reviewer: Pei Yuan Wu (Hsinchu) MSC: 15A60 15A04 15A30 PDFBibTeX XMLCite \textit{X. Tang} and \textit{C. Cao}, J. Math. Res. Expo. 23, No. 3, 564--566 (2003; Zbl 1083.15041)
Tang, Xiaomin; Cao, Chongguang Additive maps preserving matrix equalities and partial orderings. (English) Zbl 1035.15006 JP J. Algebra Number Theory Appl. 3, No. 2, 259-268 (2003). Reviewer: Rodica Covaci (Cluj-Napoca) MSC: 15A04 15A30 15A03 15A24 15B48 PDFBibTeX XMLCite \textit{X. Tang} and \textit{C. Cao}, JP J. Algebra Number Theory Appl. 3, No. 2, 259--268 (2003; Zbl 1035.15006)
Tang, Xiaomin; Cao, Chongguang Modular automorphisms of triangular matrices over commutative rings preserving involutory and tripotent. (English) Zbl 1030.15001 Northeast. Math. J. 19, No. 2, 149-154 (2003). Reviewer: Václav Burjan (Praha) MSC: 15A04 PDFBibTeX XMLCite \textit{X. Tang} and \textit{C. Cao}, Northeast. Math. J. 19, No. 2, 149--154 (2003; Zbl 1030.15001)
Cao, Chong-guang; Zhang, Xian The generalized inverse \(A_{T,*}^{(2)}\) and its applications. (English) Zbl 1027.15005 J. Appl. Math. Comput. 11, No. 1-2, 155-164 (2003). Reviewer: F.Kittaneh MSC: 15A09 15A06 PDFBibTeX XMLCite \textit{C.-g. Cao} and \textit{X. Zhang}, J. Appl. Math. Comput. 11, No. 1--2, 155--164 (2003; Zbl 1027.15005) Full Text: DOI
Cao, Chong-guang; Zhang, Xian Additive rank-one preserving surjections on symmetric matrix spaces. (English) Zbl 1035.15005 Linear Algebra Appl. 362, 145-151 (2003). Reviewer: Bambina Larato (Bari) MSC: 15A04 15A03 15A30 PDFBibTeX XMLCite \textit{C.-g. Cao} and \textit{X. Zhang}, Linear Algebra Appl. 362, 145--151 (2003; Zbl 1035.15005) Full Text: DOI
Zhang, Xian; Yang, Zhong-Peng; Cao, Chong-Guang Matrix inequalities involving the Khatri-Rao product. (English) Zbl 1090.15015 Arch. Math., Brno 38, No. 4, 265-272 (2002). Reviewer: Ladislav Skula (Brno) MSC: 15A45 15A69 PDFBibTeX XMLCite \textit{X. Zhang} et al., Arch. Math., Brno 38, No. 4, 265--272 (2002; Zbl 1090.15015) Full Text: EuDML EMIS
Cao, Chong-Guang; Zhang, Xian Homomorphisms from the unitary group to the general linear group over complex number field and applications. (English) Zbl 1068.20048 Arch. Math., Brno 38, No. 3, 209-217 (2002). Reviewer: Ladislav Skula (Brno) MSC: 20G20 20E36 15A30 PDFBibTeX XMLCite \textit{C.-G. Cao} and \textit{X. Zhang}, Arch. Math., Brno 38, No. 3, 209--217 (2002; Zbl 1068.20048) Full Text: EuDML EMIS
Cao, Chong-Guang; Zhang, Xian; Yang, Zhong-Peng Some inequalities for the Khatri-Rao product of matrices. (English) Zbl 1020.15021 Electron. J. Linear Algebra 9, 276-281 (2002). Reviewer: Václav Burjan (Praha) MSC: 15A45 15A69 PDFBibTeX XMLCite \textit{C.-G. Cao} et al., Electron. J. Linear Algebra 9, 276--281 (2002; Zbl 1020.15021) Full Text: DOI EuDML EMIS Link
Bu, Changjiang; Cao, Chongguang Group inverses of a product of two matrices over a skew field. (Chinese. English summary) Zbl 1020.15003 J. Math. Study 35, No. 4, 435-438 (2002). MSC: 15A09 15B33 PDFBibTeX XMLCite \textit{C. Bu} and \textit{C. Cao}, J. Math. Study 35, No. 4, 435--438 (2002; Zbl 1020.15003)
Cao, Chongguang; Yang, Zhongpeng; Zhang, Xian Two inequalities involving Hadamard products of positive semi-definite Hermitian matrices. (English) Zbl 1014.15014 J. Appl. Math. Comput. 10, No. 1-2, 101-109 (2002). Reviewer: Arnold Richard Kräuter (Leoben) MSC: 15A45 15A69 PDFBibTeX XMLCite \textit{C. Cao} et al., J. Appl. Math. Comput. 10, No. 1--2, 101--109 (2002; Zbl 1014.15014) Full Text: DOI
Zhang, Xian; Yang, Zhongpeng; Cao, Chongguang Inequalities involving Khatri-Rao products of positive semi-definite matrices. (English) Zbl 0998.15026 Appl. Math. E-Notes 2, 117-124 (2002). Reviewer: Václav Burjan (Praha) MSC: 15A45 15A69 PDFBibTeX XMLCite \textit{X. Zhang} et al., Appl. Math. E-Notes 2, 117--124 (2002; Zbl 0998.15026) Full Text: EuDML EMIS
Yang, Zhong-Peng; Zhang, Xian; Cao, Chong-Guang Inequalities involving Khatri-Rao products of Hermitian matrices. (English) Zbl 0999.15026 Korean J. Comput. Appl. Math. 9, No. 1, 125-133 (2002). Reviewer: Václav Burjan (Praha) MSC: 15A45 15A69 PDFBibTeX XMLCite \textit{Z.-P. Yang} et al., Korean J. Comput. Appl. Math. 9, No. 1, 125--133 (2002; Zbl 0999.15026)
Cao, Chongguang Some results of group inverses for partitioned matrices over skew fields. (Chinese. English summary) Zbl 1076.15506 Heilongjiangdaxue Ziran Kexue Xuebao 18, No. 3, 5-7 (2001). MSC: 15A09 15B33 PDFBibTeX XMLCite \textit{C. Cao}, J. Nat. Sci. Heilongjiang Univ. 18, No. 3, 5--7 (2001; Zbl 1076.15506)
Zhang, Xian; Cao, Chong-Guang Homomorphisms between matrix multiplicative semigroups. (English) Zbl 1018.20049 JP J. Algebra Number Theory Appl. 1, No. 3, 225-233 (2001). Reviewer: Ki Hang Kim (Montgomery) MSC: 20M15 15A30 20M20 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{C.-G. Cao}, JP J. Algebra Number Theory Appl. 1, No. 3, 225--233 (2001; Zbl 1018.20049)
Tang, Xiao Min; Cao, Chong Guang; Zhang, Xian Modular automorphisms preserving idempotence and Jordan isomorphisms of triangular matrices over commutative rings. (English) Zbl 1003.15001 Linear Algebra Appl. 338, No. 1-3, 145-152 (2001). Reviewer: Rabe von Randow (Bonn) MSC: 15A04 16S50 15B33 16W20 PDFBibTeX XMLCite \textit{X. M. Tang} et al., Linear Algebra Appl. 338, No. 1--3, 145--152 (2001; Zbl 1003.15001) Full Text: DOI
Yang, Zhongpeng; Zhang, Xian; Cao, Chongguang Inequalities involving Hadamard products of Hermitian matrices. (English) Zbl 0977.15006 Appl. Math. E-Notes 1, 91-96 (2001). MSC: 15A45 PDFBibTeX XMLCite \textit{Z. Yang} et al., Appl. Math. E-Notes 1, 91--96 (2001; Zbl 0977.15006) Full Text: EuDML EMIS
Zhang, Xian; Yang, Zhongpeng; Cao, Chongguang Real solutions of the equation \(\phi^t(A)=\frac{1}{n}J_n\). (English) Zbl 0957.15010 SIAM J. Matrix Anal. Appl. 21, No. 2, 642-645 (2000). Reviewer: V.P.Kostov (Nice) MSC: 15A24 93A30 80A50 PDFBibTeX XMLCite \textit{X. Zhang} et al., SIAM J. Matrix Anal. Appl. 21, No. 2, 642--645 (2000; Zbl 0957.15010) Full Text: DOI
Cao, Chongguang Linear maps preserving idempotence of matrix modules over certain rings. (Chinese. English summary) Zbl 1076.15510 Heilongjiangdaxue Ziran Kexue Xuebao 16, No. 1, 1-4 (1999). MSC: 15B33 PDFBibTeX XMLCite \textit{C. Cao}, J. Nat. Sci. Heilongjiang Univ. 16, No. 1, 1--4 (1999; Zbl 1076.15510)
Tang, Xiaomin; Zhang, Xian; Cao, Chongguang Additive adjugate preservers on the matrices over fields. (English) Zbl 1008.15005 Northeast. Math. J. 15, No. 2, 246-252 (1999). MSC: 15A04 PDFBibTeX XMLCite \textit{X. Tang} et al., Northeast. Math. J. 15, No. 2, 246--252 (1999; Zbl 1008.15005)
Zhang, Xian; Cao, Chongguang Linear operators strongly preserving M-P inverses of matrices over some antinegative commutative semirings. (English) Zbl 0941.15002 J. Math. Res. Expo. 19, No. 3, 508-514 (1999). Reviewer: Y.Kuo (Knoxville) MSC: 15A09 15A04 15A30 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{C. Cao}, J. Math. Res. Expo. 19, No. 3, 508--514 (1999; Zbl 0941.15002)
Zhang, Xian; Cao, Chongguang; Bu, Changjiang Additive maps preserving M-P inverses of matrices over fields. (English) Zbl 0939.15001 Linear Multilinear Algebra 46, No. 3, 199-211 (1999). Reviewer: Chen Zhijie (Shanghai) MSC: 15A09 15A30 15A04 PDFBibTeX XMLCite \textit{X. Zhang} et al., Linear Multilinear Algebra 46, No. 3, 199--211 (1999; Zbl 0939.15001) Full Text: DOI
Feng, Lixin; Cao, Chongguang Additive operators that preserve inverse matrices. (Chinese. English summary) Zbl 1076.15507 Heilongjiangdaxue Ziran Kexue Xuebao 15, No. 3, 3-6 (1998). MSC: 15A09 15B33 PDFBibTeX XMLCite \textit{L. Feng} and \textit{C. Cao}, J. Nat. Sci. Heilongjiang Univ. 15, No. 3, 3--6 (1998; Zbl 1076.15507)
Cao, Chongguang; Yu, Xianjun Inverse-preserving modular endomorphisms of matrices over a commutative ring. (Chinese. English summary) Zbl 1044.15501 J. Math., Wuhan Univ. 18, No. 1, 9-12 (1998). MSC: 15B33 PDFBibTeX XMLCite \textit{C. Cao} and \textit{X. Yu}, J. Math., Wuhan Univ. 18, No. 1, 9--12 (1998; Zbl 1044.15501)
Cao, Chongguang; Xian, Zhang Multiplicative semigroup automorphisms of upper triangular matrices over rings. (English) Zbl 0938.16029 Linear Algebra Appl. 278, No. 1-3, 85-90 (1998). Reviewer: Viorel Mihai Gontineac (Iasi) MSC: 16W20 16S60 20H25 15A30 16N60 PDFBibTeX XMLCite \textit{C. Cao} and \textit{Z. Xian}, Linear Algebra Appl. 278, No. 1--3, 85--90 (1998; Zbl 0938.16029) Full Text: DOI
Cao, Chongguang; Zhang, Xian Additive operators preserving idempotent matrices over fields and applications. (English) Zbl 0861.15017 Linear Algebra Appl. 248, 327-338 (1996). Reviewer: R.Covaci (Cluj-Napoca) MSC: 15A30 15A09 15A21 PDFBibTeX XMLCite \textit{C. Cao} and \textit{X. Zhang}, Linear Algebra Appl. 248, 327--338 (1996; Zbl 0861.15017) Full Text: DOI
Cao, Chongguang; Zhang, Xian Linear operators preserving idempotent matrices over fields of characteristic 2. (Chinese. English summary) Zbl 0853.15010 J. Math. Res. Expo. 16, No. 1, 147-149 (1996). Reviewer: Tong Wenting (Nanjing) MSC: 15A30 15A04 20H20 PDFBibTeX XMLCite \textit{C. Cao} and \textit{X. Zhang}, J. Math. Res. Expo. 16, No. 1, 147--149 (1996; Zbl 0853.15010)
Cao, Chongguang On linear operators on a matrix space. (Chinese) Zbl 0875.15001 J. Math. Res. Expo. 15, No. 4, 558 (1995). MSC: 15A04 15B33 PDFBibTeX XMLCite \textit{C. Cao}, J. Math. Res. Expo. 15, No. 4, 558 (1995; Zbl 0875.15001)
Cao, Chongguang Modular automorphisms of upper triangular matrices over a commutative ring preserving rank one. (English) Zbl 0819.15004 Northeast. Math. J. 10, No. 4, 496-502 (1994). Reviewer: H.Grassmann (Berlin) MSC: 15A04 15A30 PDFBibTeX XMLCite \textit{C. Cao}, Northeast. Math. J. 10, No. 4, 496--502 (1994; Zbl 0819.15004)
Ma, Zilong; Cao, Chongguang Some result for the tensor product of matrices over a chain semiring. (Chinese. English summary) Zbl 0790.15027 J. Nat. Sci. Heilongjiang Univ. 10, No. 3, 1-3 (1993). Reviewer: Chen Zhijie (Shanghai) MSC: 15A69 15B33 PDFBibTeX XMLCite \textit{Z. Ma} and \textit{C. Cao}, J. Nat. Sci. Heilongjiang Univ. 10, No. 3, 1--3 (1993; Zbl 0790.15027)
Cao, Chongguang Linear operators that preserve \(M\)-\(P\) inverses of matrices. (English) Zbl 0790.15013 Northeast. Math. J. 9, No. 2, 255-260 (1993). Reviewer: J.Zhang (Anhui) MSC: 15A30 15A09 15A04 PDFBibTeX XMLCite \textit{C. Cao}, Northeast. Math. J. 9, No. 2, 255--260 (1993; Zbl 0790.15013)