JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (11): 87-94.doi: 10.6040/j.issn.1671-9352.0.2023.486
CAO Liufeng1,2, WEI Junchao2, HU Jiawei2*
CLC Number:
| [1] CAO Liufeng, YOU Lan, WEI Junchao. EP elements of Z[x] /(x2+x)[J]. Filomat, 2023, 37(22):7467-7478. [2] MOSIC D. Generalized inverses[M]. Ni: University of Ni, 2018. [3] MOSIC D, DJORDJEVIC D S. Moore-Penrose-invertible normal and Hermitian elements in rings[J]. Linear Algebra and Its Applications, 2009, 431:732-745. [4] MOSIC D, DJORDJEVIC D S. New characterizations of EP, generalized normal and generalized Hermitian elements in rings[J]. Applied Mathematics and Computation, 2012, 218(12):6702-6710. [5] SHI Liyan, WEI Junchao. Some new characterizations of normal elements[J]. Filomat, 2019, 33(13):4115-4120. [6] XU Zhicheng, TANG Ruijun, WEI Junchao. Strongly EP elements in a ring with involution[J]. Filomat, 2020, 34(6):2101-2107. [7] ZHAO Danan, WEI Junchao. Some new characterizations of partial isometries in rings with involution[J]. International Electronic Jouranl of Algebra, 2021, 30:304-311. [8] ETINGOF P, GELAKI S, NIKSHYCH D, et al. Tensor categories[M]. Providence: AMS, 2015. [9] 曹刘峰,周芯雨,李立斌. CMS融合代数的不可约表示[J]. 数学的实践与认识,2020,50(24):189-195. CAO Liufeng, ZHOU Xinyu, LI Libin. The irreducible representations of CMS fusion ring[J]. Mathematics in Practice and Theory, 2020, 50(24):189-195. [10] 曹刘峰. 二面体群 Grothendieck代数的Maschke定理[J]. 山东大学学报(理学版),2023,58(2):44-50. CAO Liufeng. The Maschke theorem for the Grothendieck algebra of dihedral group[J]. Journal of Shandong University(Natural Science), 2023, 58(2):44-50. [11] CAO Liufeng, CHEN Huixiang. Special modules for R(PSL(2,q))[J]. Czechoslovak Mathematical Journal, 2023, 73(4):1301-1317. [12] GREEN J A. The modular representation algebra of a finite group[J]. Illinois Journal of Mathematics, 1962, 6(4):607-619. [13] 曹刘峰,周灵睿,李立斌. 二面体群D5上的表示环[J]. 扬州大学学报(自然科学版),2020,23(6):13-17. CAO Liufeng, ZHOU Lingrui, LI Libin. The representation ring of dihedral group D5[J]. Journal of Yangzhou University(Natural Science Edition), 2020, 23(6):13-17. [14] CAO Liufeng, CHEN Huixiang, LI Libin. The cell modules of the Green algebra of Drinfeld quantum double D(H4)[J]. Acta Mathematic Sinica(English Series), 2022, 6(38):1116-1132. [15] CAO Liufeng, CHEN Huixiang, LI Libin. McKay matrix for indecomposable module of finite representation type Hopf algebra[J]. Communications in Algebra, 2022, 50(10):4560-4576. [16] CAO Liufeng, SU Dong, YAO Hua. Automorphism group of green algebra of weak Hopf algebra corresponding to Sweedler Hopf algebra[J]. Czechoslovak Mathematical Journal, 2023, 73(148):101-115. [17] CAO Liufeng, XIA Xuejun, LI Libin. McKay matrices for pointed rank one Hopf algebras of nilpotent type[J]. Algebra Colloquium, 2023, 30(3):467-480. [18] CAO Liufeng. Representations over Green algebras of weak Hopf algebras based on Taft algebras[J]. Bulletin of The Korean Mathematical Society, 2023, 60(6):1687-1695. |
| [1] | DAI Li-fang, LIANG Mao-lin, RAN Yan-ping. Solvability conditions for a class of tensor inverse eigenvalue problems [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2021, 56(6): 95-102. |
| [2] | LEI Lin, LI Xiao-li, HE Cheng-yuan. Properties for r-H-circulant matrices and polynomial algorithm of their inverse [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2021, 56(4): 102-110. |
| [3] | Gulshadam Yunus, Abdukadir Obul. Generalized inverse via Gröbner-Shirshov basis [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(4): 54-57. |
| [4] | YUAN Yue, ZHAO Ping. Maximal subsemigroups and the maximal regular subsemigroups of the semigroup H *(n,m)(r) [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(12): 19-24. |
| [5] | LUO Gao-jun, ZUO Ke-zheng, ZHOU Liang. The new properties of core inverse of matrices [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(04): 90-94. |
| [6] | ZHENG Chan, LI Han-yu. Generalized singular value decompositions with respect to Semi-definite inner product [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(12): 81-86. |
| [7] | LIU Ni. On (P,Q) outer generalized inverse in Hilbert space#br# [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(05): 90-94. |
| [8] | LI Jing, HE Cheng-yuan. A fast algorithm for finding the inverse and generlized inverse of the first and the last difference circulant matrices [J]. J4, 2013, 48(6): 96-99. |
| [9] | DUAN Ying-tao. The reverse order law for {1,3,4}-inverse of the product of two operators [J]. J4, 2012, 47(4): 53-56. |
| [10] | ZHANG Feng-xia1, LI Ying1,2, ZHAO Jian-li1. The reverse order law for {1,2,3}-inverse and {1,2,4}-inverse of products of two matrices [J]. J4, 2011, 46(4): 78-81. |
| [11] | ZHU Guang-yan1, LIU Xiao-ji2*. Matrix M-weighted right symmetry factor [J]. J4, 2011, 46(2): 114-116. |
| [12] | YUAN Wan-gui, KONG Xiang-zhi. Weighted Moore-Penrose inverses on rings [J]. J4, 2011, 46(12): 55-59. |
| [13] | ZHONG Jin, LIU Xiao-ji*. On the sharp ordering for Hilbert space operators [J]. J4, 2010, 45(4): 82-85. |
| [14] | . The necessary and sufficient condition for the existence of limit lim λ→0 Y(λI+AY)-1 [J]. J4, 2009, 44(6): 10-13. |
| [15] | YUE Jiang, CHANG Da-Wei. Preconditioned simultaneous displacement(PSD) method for rank deficient linear systems [J]. J4, 2009, 44(10): 30-35. |
|
||