- -

Centralizer's applications to the (b, c)-inverses in rings

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Centralizer's applications to the (b, c)-inverses in rings

Mostrar el registro sencillo del ítem

Ficheros en el ítem

dc.contributor.author Xu, Sanzhang es_ES
dc.contributor.author Chen, Jianlong es_ES
dc.contributor.author Benítez López, Julio es_ES
dc.contributor.author Wang, Dingguo es_ES
dc.date.accessioned 2020-04-06T08:56:14Z
dc.date.available 2020-04-06T08:56:14Z
dc.date.issued 2019-07 es_ES
dc.identifier.issn 1137-2141 es_ES
dc.identifier.uri http://hdl.handle.net/10251/140204
dc.description.abstract [EN] We give several conditions in order that the absorption law for one sided (b,c)-inverses in rings holds. Also, by using centralizers, we obtain the absorption law for the (b,c)-inverse and the reverse order law of the (b,c)-inverse in rings. As applications, we obtain the related results for the inverse along an element, Moore-Penrose inverse, Drazin inverse, group inverse and core inverse. es_ES
dc.description.sponsorship This research is supported by the National Natural Science Foundation of China (no. 11771076 and no. 11871301). The first author is grateful to China Scholarship Council for giving him a scholarship for his further study in Universitat Politecnica de Valencia, Spain. es_ES
dc.language Inglés es_ES
dc.publisher Real Academia de Ciencias Exactas, Físicas y Naturales es_ES
dc.relation.ispartof Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Centralizer (b,c) -inverse es_ES
dc.subject Absorption law es_ES
dc.subject Reverse order law es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Centralizer's applications to the (b, c)-inverses in rings es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13398-018-0574-0 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/NSFC//11771076/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/NSFC//11871301/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Xu, S.; Chen, J.; Benítez López, J.; Wang, D. (2019). Centralizer's applications to the (b, c)-inverses in rings. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. 113(3):1739-1746. https://doi.org/10.1007/s13398-018-0574-0 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s13398-018-0574-0 es_ES
dc.description.upvformatpinicio 1739 es_ES
dc.description.upvformatpfin 1746 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 113 es_ES
dc.description.issue 3 es_ES
dc.relation.pasarela S\380452 es_ES
dc.contributor.funder National Natural Science Foundation of China es_ES
dc.description.references Baksalary, O.M., Trenkler, G.: Core inverse of matrices. Linear Multilinear Algebra 58(6), 681–697 (2010) es_ES
dc.description.references Benítez, J., Boasso, E.: The inverse along an element in rings with an involution, Banach algebras and $$C^*$$ C ∗ -algebras. Linear Multilinear Algebra 65(2), 284–299 (2017) es_ES
dc.description.references Benítez, J., Boasso, E., Jin, H.W.: On one-sided $$(B, C)$$ ( B , C ) -inverses of arbitrary matrices. Electron. J. Linear Algebra 32, 391–422 (2017) es_ES
dc.description.references Boasso, E., Kantún-Montiel, G.: The $$(b, c)$$ ( b , c ) -inverses in rings and in the Banach context. Mediterr. J. Math. 14, 112 (2017) es_ES
dc.description.references Chen, Q.G., Wang, D.G.: A class of coquasitriangular Hopf group algebras. Comm. Algebra 44(1), 310–335 (2016) es_ES
dc.description.references Chen, J.L., Ke, Y.Y., Mosić, D.: The reverse order law of the $$(b, c)$$ ( b , c ) -inverse in semigroups. Acta Math. Hung. 151(1), 181–198 (2017) es_ES
dc.description.references Deng, C.Y.: Reverse order law for the group inverses. J. Math. Anal. Appl. 382(2), 663–671 (2011) es_ES
dc.description.references Drazin, M.P.: Pseudo-inverses in associative rings and semigroups. Am. Math. Mon. 65, 506–514 (1958) es_ES
dc.description.references Drazin, M.P.: A class of outer generalized inverses. Linear Algebra Appl. 436, 1909–1923 (2012) es_ES
dc.description.references Drazin, M.P.: Left and right generalized inverses. Linear Algebra Appl. 510, 64–78 (2016) es_ES
dc.description.references Jin, H.W., Benítez, J.: The absorption laws for the generalized inverses in rings. Electron. J. Linear Algebra 30, 827–842 (2015) es_ES
dc.description.references Johnson, B.E.: An introduction to the theory of centralizers. Proc. Lond. Math. Soc. 14, 299–320 (1964) es_ES
dc.description.references Ke, Y.Y., Cvetković-Ilić, D.S., Chen, J.L., Višnjić, J.: New results on $$(b, c)$$ ( b , c ) -inverses. Linear Multilinear Algebra 66(3), 447–458 (2018) es_ES
dc.description.references Ke Y.Y., Višnjić J., Chen J.L.: One sided $$(b,c)$$ ( b , c ) -inverse in rings (2016). arXiv:1607.06230v1 es_ES
dc.description.references Liu, X.J., Jin, H.W., Cvetković-Ilić, D.S.: The absorption laws for the generalized inverses. Appl. Math. Comput. 219, 2053–2059 (2012) es_ES
dc.description.references Mary, X.: On generalized inverse and Green’s relations. Linear Algebra Appl. 434, 1836–1844 (2011) es_ES
dc.description.references Mary, X., Patrício, P.: Generalized inverses modulo $$\cal{H}$$ H in semigroups and rings. Linear Multilinear Algebra 61(8), 1130–1135 (2013) es_ES
dc.description.references Mosić, D., Cvetković-Ilić, D.S.: Reverse order law for the Moore-Penrose inverse in $$C^*$$ C ∗ -algebras. Electron. J. Linear Algebra 22, 92–111 (2011) es_ES
dc.description.references Rakić, D.S.: A note on Rao and Mitra’s constrained inverse and Drazin’s $$(b, c)$$ ( b , c ) -inverse. Linear Algebra Appl. 523, 102–108 (2017) es_ES
dc.description.references Rakić, D.S., Dinčić, N.Č., Djordjević, D.S.: Group, Moore–Penrose, core and dual core inverse in rings with involution. Linear Algebra Appl. 463, 115–133 (2014) es_ES
dc.description.references Wang, L., Castro-González, N., Chen, J.L.: Characterizations of outer generalized inverses. Can. Math. Bull. 60(4), 861–871 (2017) es_ES
dc.description.references Wei, Y.M.: A characterization and representation of the generalized inverse $$A^{(2)}_{T, S}$$ A T , S ( 2 ) and its applications. Linear Algebra Appl. 280, 87–96 (1998) es_ES
dc.description.references Xu, S.Z., Benítez, J.: Existence criteria and expressions of the $$(b, c)$$ ( b , c ) -inverse in rings and its applications. Mediterr. J. Math. 15, 14 (2018) es_ES
dc.description.references Zhu, H.H., Chen, J.L., Patrício, P.: Further results on the inverse along an element in semigroups and rings. Linear Multilinear Algebra 64(3), 393–403 (2016) es_ES
dc.description.references Zhu, H.H., Chen, J.L., Patrício, P.: Reverse order law for the inverse along an element. Linear Multilinear Algebra 65, 166–177 (2017) es_ES
dc.description.references Zhu, H.H., Chen, J.L., Patrício, P., Mary, X.: Centralizer’s applications to the inverse along an element. Appl. Math. Comput. 315, 27–33 (2017) es_ES
dc.description.references Zhu, H.H., Zhang, X.X., Chen, J.L.: Centralizers and their applications to generalized inverses. Linear Algebra Appl. 458, 291–300 (2014) es_ES


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem