6533b82efe1ef96bd1293d53
RESEARCH PRODUCT
Special elements in a ring related to Drazin inverses
Néstor ThomePedro PatrícioLeila Lebtahisubject
Pure mathematicsDrazin inverse16E50Inverse010103 numerical & computational mathematicsInvolutory element01 natural sciencesSecondary: 16A300101 mathematicsMathematicsRingRing (mathematics)Science & TechnologyAlgebra and Number TheoryGroup (mathematics)Primary: 15A09010102 general mathematicsAnells (Algebra)15A09 [Primary]PowerDrazin inverseÀlgebra linealElement (category theory)16A30 [Secondary]Unit (ring theory)description
In this paper, the existence of the Drazin (group) inverse of an element a in a ring is analyzed when amk = kan, for some unit k and m; n 2 N. The same problem is studied for the case when a* = kamk-1 and for the fk; s+1g-potent elements. In addition, relationships with other special elements of the ring are also obtained
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-08-01 | Linear and Multilinear Algebra |