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Articles

The core and dual core inverse of a morphism with kernel

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Pages 1937-1947 | Received 24 Jan 2018, Accepted 09 May 2018, Published online: 21 May 2018

References

  • Puystjens R , Robinson DW . The Moore-Penrose inverse of a morphism with factorization. Linear Algebra Appl. 1981;40:129–141.
  • Baksalary OM , Trenkler G . Core inverse of matrices. Linear Multilinear Algebra. 2010;58:681–697.
  • Rakić DS , Dinčić NČ , Djordiević DS . Group, Moore-Penrose, core and dual core inverse in rings with involution. Linear Algebra Appl. 2014;463:115–133.
  • Xu SZ , Chen JL , Zhang XX . New characterizations for core and dual core inverses in rings with involution. Front. Math. China. 2017;12(1):231–246.
  • Robinson DW , Puystjens R . Generalized inverses of morphisms with kernels. Linear Algebra Appl. 1987;96:65–86.
  • Miao JM , Robinson DW . Group and Moore-Penrose inverse of regular morphisms with kernel and cokernel. Linear Algebra Appl. 1988;110:263–270.
  • Peška P . The Moore-Penrose inverse of a partitioned morphism in an additive category. Math. Slovaca. 2000;50(4):437–452.
  • Puystjens R , Robinson DW . The Moore-Penrose inverse of a morphism in an additive category. Commun Algebra. 1984;12(3):287–299.
  • Puystjens R , Robinson DW . Symmetric morphisms and the existence of Moore-Penrose inverses. Linear Algebra Appl. 1990;131:51–69.
  • Hartwig RE . Block generalized inverses. Arch Rational Mech Anal. 1976;61:197–251.
  • Li TT , Chen JL . Characterizations of core and dual core inverses in rings with involution. Linear Multilinear Algebra. 2018;66(4):717–730.
  • Chen JL , Zhu HH , Patrício P , Zhang YL . Characterizations and representations of core and dual core inverses. Canad Math Bull. 2017;60(2):269–282.

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