Characterizations of special clean elements and applications

doi:10.2298/FIL2014847M

Utilize este identificador para referenciar este registo: https://hdl.handle.net/1822/80236

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Campo DC	Valor	Idioma
dc.contributor.author	Mary, Xavier	por
dc.contributor.author	Patrício, Pedro	por
dc.date.accessioned	2022-10-19T08:56:43Z	-
dc.date.available	2022-10-19T08:56:43Z	-
dc.date.issued	2020	-
dc.identifier.citation	Mary, X., & Patrício, P. (2020). Characterizations of special clean elements and applications. Filomat. National Library of Serbia. http://doi.org/10.2298/fil2014847m	-
dc.identifier.issn	0354-5180	por
dc.identifier.uri	https://hdl.handle.net/1822/80236	-
dc.description.abstract	We prove that special clean decompositions of a given element of a ring are in one-to-one correspondence with the set of solutions of a simple equation in a corner ring. We then derive "constructive" proofs that in many rings, regular elements are special clean by solving this equation in specific cases. Other applications, such as uniqueness of decompositions, are given. Many examples of special clean decompositions of 2-2 matrices found by this methodology are also presented.	por
dc.description.sponsorship	The research at CMAT was partially financed by Portuguese Funds through FCT (Fundação para a Ciência e a Tecnologia) within the Projects UIDB/00013/2020 and UIDP/00013/2020. It has also been conducted as part of the project Labex MME-DII (ANR11-LBX-0023-01).	por
dc.language.iso	eng	por
dc.publisher	University of Niš. Faculty of Science and Mathematics	por
dc.relation	info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00013%2F2020/PT	-
dc.relation	info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00013%2F2020/PT	-
dc.rights	openAccess	por
dc.subject	Special clean elements	por
dc.subject	Unit-regular elements	por
dc.subject	Strongly regular (group) elements	por
dc.subject	Stable range 1	por
dc.title	Characterizations of special clean elements and applications	por
dc.type	article	-
dc.peerreviewed	yes	por
dc.relation.publisherversion	https://doiserbia.nb.rs/Article.aspx?ID=0354-51802014847M	-
oaire.citationStartPage	4847	por
oaire.citationEndPage	4860	por
oaire.citationIssue	14	por
oaire.citationVolume	34	por
dc.date.updated	2022-10-11T16:23:13Z	-
dc.identifier.eissn	2406-0933	-
dc.identifier.doi	10.2298/FIL2014847M	por
dc.subject.wos	Science & Technology	-
sdum.export.identifier	12367	-
sdum.journal	Filomat	por
Aparece nas coleções:	CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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