Registro completo de metadatos
| Campo DC | Valor | Lengua/Idioma |
|---|---|---|
| dc.creator | Corach, Gustavo | - |
| dc.creator | Duggal, Bhaggy | - |
| dc.creator | Harte, Robin | - |
| dc.date | 2016-01-04T20:04:30Z | - |
| dc.date | 2016-01-04T20:04:30Z | - |
| dc.date | 2013-01 | - |
| dc.date | 2016-03-30 10:35:44.97925-03 | - |
| dc.date.accessioned | 2019-04-29T15:41:03Z | - |
| dc.date.available | 2019-04-29T15:41:03Z | - |
| dc.date.issued | 2016-01-04T20:04:30Z | - |
| dc.date.issued | 2016-01-04T20:04:30Z | - |
| dc.date.issued | 2013-01 | - |
| dc.date.issued | 2016-03-30 10:35:44.97925-03 | - |
| dc.identifier | Corach, Gustavo; Duggal, Bhaggy ; Harte, Robin; Extensions of Jacobson's Lemma; Taylor; Communications In Algebra; 41; 1-2013; 520-531 | - |
| dc.identifier | 0092-7872 | - |
| dc.identifier | http://hdl.handle.net/11336/3306 | - |
| dc.identifier.uri | http://rodna.bn.gov.ar:8080/jspui/handle/bnmm/299448 | - |
| dc.description | Jacobson’s Lemma says that if a c ∈ A thenac − 1 ∈ A−1 ⇐⇒ ca − 1 ∈ A−1 which holds separately for the left and the right invertibles of A, as well as for the non zero-divisors of A. In this note, we generalize the identity above and many of its relatives from ca − 1 to certain ba − 1: specifically we will suppose aba = aca. Three special cases are of interest: the case b = c which will give Jacobson’s lemma; the case in which aba = aca = a in which both b and c are generalized inverses of a ∈ A; and the case aba = a^2 in which c = 1. This last case goes back to Vidav; in particular, Schmoeger shows that aba=a^2 holds if there are idempotents p = p^2 q = q^2 for which a = qp and b = pq. The central results in this note are of course pure algebra: but in the neighboring realm of topological algebra they have very close relatives, and we take the opportunity to extend our purely algebraic observations to their topological analogues. | - |
| dc.description | Fil: Corach, Gustavo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina | - |
| dc.description | Fil: Duggal, Bhaggy . Visegradska. Faculty of Science and Mathematics. Department of Mathematics; Serbia | - |
| dc.description | Fil: Harte, Robin. Universidad de Dublin; Irlanda | - |
| dc.format | application/pdf | - |
| dc.format | application/pdf | - |
| dc.language | eng | - |
| dc.publisher | Taylor | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/10.1080/00927872.2011.602274 | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/http:/dx.doi.org/10.1080/00927872.2011.602274 | - |
| dc.rights | info:eu-repo/semantics/restrictedAccess | - |
| dc.rights | https://creativecommons.org/licenses/by-nc-nd/2.5/ar/ | - |
| dc.source | reponame:CONICET Digital (CONICET) | - |
| dc.source | instname:Consejo Nacional de Investigaciones Científicas y Técnicas | - |
| dc.source | instacron:CONICET | - |
| dc.subject | JACOBSON'S LEMMA | - |
| dc.subject | OPERATOR | - |
| dc.subject | RESOLVENT | - |
| dc.subject | Matemática Pura | - |
| dc.subject | Matemáticas | - |
| dc.subject | CIENCIAS NATURALES Y EXACTAS | - |
| dc.title | Extensions of Jacobson's Lemma | - |
| dc.type | info:eu-repo/semantics/article | - |
| dc.type | info:eu-repo/semantics/publishedVersion | - |
| dc.type | info:ar-repo/semantics/articulo | - |
| Aparece en las colecciones: | CONICET | |
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