A note on clean elements and inverses along an element

doi:10.2298/FIL1812285Z

Utilize este identificador para referenciar este registo: https://hdl.handle.net/1822/66087

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Campo DC	Valor	Idioma
dc.contributor.author	Zhu, Huihui	por
dc.contributor.author	Patrício, Pedro	por
dc.date.accessioned	2020-07-20T09:57:48Z	-
dc.date.available	2020-07-20T09:57:48Z	-
dc.date.issued	2018	-
dc.identifier.citation	Zhu, H., & Patrício, P. (2018). A note on clean elements and inverses along an element. Filomat. National Library of Serbia. http://doi.org/10.2298/fil1812285z	-
dc.identifier.issn	0354-5180	por
dc.identifier.uri	https://hdl.handle.net/1822/66087	-
dc.description.abstract	Let R be an associative ring with unity 1 and let a, d is an element of R. An element a is an element of R is called invertible along d if there exists unique a(parallel to d) such that a(parallel to d) ad = d = daa(parallel to d) and a(parallel to d )is an element of dR boolean AND Rd (see [6, Definition 4]). In this note, we present new characterizations for the existence of a(parallel to d )by clean decompositions of ad and da. As applications, existence criteria for the Drazin inverse and the group inverse are given.	por
dc.description.sponsorship	The authors are highly grateful to the referee for his/her valuable comments and suggestions which greatly improved this paper. This research is supported by the National Natural Science Foundation of China (No. 11801124), the Fundamental Research Funds for the Central Universities (No. JZ2018HGTB0233) and the Natural Science Foundation of Anhui Province (No. 1808085QA16), and the Portuguese Funds through FCT-'Fundacao para a Ciencia e a Tecnologia', within the project UID-MAT-00013/2013.	por
dc.language.iso	eng	por
dc.publisher	University of Niš. Faculty of Sciences and Mathematics	por
dc.relation	info:eu-repo/grantAgreement/FCT/5876/147370/PT	por
dc.rights	openAccess	por
dc.subject	inverses along an element	por
dc.subject	one-sided inverses along an element	por
dc.subject	clean elements	por
dc.subject	strongly clean decompositions	por
dc.subject	special clean decompositions	por
dc.title	A note on clean elements and inverses along an element	por
dc.type	article	-
dc.peerreviewed	yes	por
dc.relation.publisherversion	http://www.doiserbia.nb.rs/img/doi/0354-5180/2018/0354-51801812285Z.pdf	por
oaire.citationStartPage	4285	por
oaire.citationEndPage	4290	por
oaire.citationIssue	12	por
oaire.citationVolume	32	por
dc.date.updated	2020-03-03T11:44:45Z	-
dc.identifier.eissn	2406-0933	por
dc.identifier.doi	10.2298/FIL1812285Z	por
dc.subject.fos	Ciências Naturais::Matemáticas	por
dc.subject.wos	Science & Technology	-
sdum.export.identifier	5573	-
sdum.journal	Filomat	por
Aparece nas coleções:	CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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