Benítez López, J.; Liu, X.; Rakocevic, V. (2012). Invertibility in rings of the commutator ab-ba, where aba=a and bab=b. Linear and Multilinear Algebra. 60(4):449-463. doi:10.1080/03081087.2011.605064
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/52703
Title:
|
Invertibility in rings of the commutator ab-ba, where aba=a and bab=b
|
Author:
|
Benítez López, Julio
Liu, Xiaoji
Rakocevic, Vladimir
|
UPV Unit:
|
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
|
Issued date:
|
|
Abstract:
|
Let R be a ring and a, b is an element of R satisfy aba = a and bab = b. We characterize when ab - ba is invertible. This study is specialized when R has an involution and when b is the Moore-Penrose inverse of a.
|
Subjects:
|
Ring
,
Involution
,
Generalized inverses
|
Copyrigths:
|
Cerrado |
Source:
|
Linear and Multilinear Algebra. (issn:
0308-1087
)
|
DOI:
|
10.1080/03081087.2011.605064
|
Publisher:
|
Taylor & Francis
|
Publisher version:
|
http://dx.doi.org/10.1080/03081087.2011.605064
|
Project ID:
|
Spanish Project MTM2010-18539
National Natural Science Foundation of China (11601005)
Ministry of Education Science and Technology Key Project (210164)
Ministry of Science, Technology and Development, Republic of Serbia 174025
|
Thanks:
|
We would like to thank the referee for his/her careful reading. The first author is supported by Spanish Project MTM2010-18539, the second author is supported by the National Natural Science Foundation of China (11601005) ...[+]
We would like to thank the referee for his/her careful reading. The first author is supported by Spanish Project MTM2010-18539, the second author is supported by the National Natural Science Foundation of China (11601005) and the Ministry of Education Science and Technology Key Project (210164) and the third author by the Ministry of Science, Technology and Development, Republic of Serbia under Grant No. 174025.
[-]
|
Type:
|
Artículo
|