Unit and Idempotent Additive Maps Over Countable Linear Transformations

dc.authorscopusid 57571130200
dc.authorscopusid 35254311500
dc.authorscopusid 18938122100
dc.contributor.author Gümüsel, Günselı
dc.contributor.author Kosan, Tamer
dc.contributor.author Zemlicka, Jan
dc.contributor.other Department of Social Sciences for University wide Courses
dc.date.accessioned 2024-07-05T15:23:31Z
dc.date.available 2024-07-05T15:23:31Z
dc.date.issued 2024
dc.department Atılım University en_US
dc.department-temp Atılım Üniversitesi,Gazi Üniversitesi,Yabancı Kurumlar en_US
dc.description.abstract Let V be a countably generated right vector space over a field F and σ ∈ End(VF ) be a shift operator. We show that there exist a unit u and an idempotent e in End(VF ) such that 1−u,σ−u are units in End(VF) and 1−e,σ−e are idempotents in End(VF). We also obtain that if D is a division ring D Z2, Z3 and VD is a D-module, then for every α ∈ End(VD) there exists a unit u ∈ End(VD) such that 1−u,α−u are units in End(VD). en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.citationcount 0
dc.identifier.doi 10.15672/hujms.1187608
dc.identifier.endpage 313 en_US
dc.identifier.issn 1303-5010
dc.identifier.issn 2651-477X
dc.identifier.issue 2 en_US
dc.identifier.scopus 2-s2.0-85193010888
dc.identifier.scopusquality Q3
dc.identifier.startpage 305 en_US
dc.identifier.trdizinid 1235506
dc.identifier.uri https://doi.org/10.15672/hujms.1187608
dc.identifier.uri https://search.trdizin.gov.tr/en/yayin/detay/1235506/unit-and-idempotent-additive-maps-over-countable-linear-transformations
dc.identifier.volume 53 en_US
dc.identifier.wos WOS:001225022700001
dc.identifier.wosquality Q3
dc.institutionauthor Gümüşel, Günseli
dc.institutionauthor Gümüşel, Günseli
dc.language.iso en en_US
dc.publisher Hacettepe Univ, Fac Sci en_US
dc.relation.ispartof Hacettepe Journal of Mathematics and Statistics en_US
dc.relation.publicationcategory Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 0
dc.subject Unit en_US
dc.subject Shift Operator en_US
dc.subject Idempotent Matrix en_US
dc.subject Tripotent Matrix en_US
dc.subject Semilocal Ring en_US
dc.subject Division Ring en_US
dc.title Unit and Idempotent Additive Maps Over Countable Linear Transformations en_US
dc.type Article en_US
dc.wos.citedbyCount 0
dspace.entity.type Publication
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