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Multiplicative maps on generalized \(n\)-matrix rings

dc.creatorJabeen, Aisha
dc.creatorFerreira, Bruno L. M.
dc.date2024-03-25
dc.date.accessioned2024-04-16T14:16:58Z
dc.date.available2024-04-16T14:16:58Z
dc.identifierhttps://cubo.ufro.cl/ojs/index.php/cubo/article/view/3631
dc.identifier10.56754/0719-0646.2601.033
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/241519
dc.descriptionLet \(\mathfrak{R}\) and \(\mathfrak{R}'\) be two associative rings (not necessarily with identity elements). A bijective map \(\varphi\) of \(\mathfrak{R}\) onto \(\mathfrak{R}'\) is called an \textit{\(m\)-multiplicative isomorphism} if {\(\varphi (x_{1} \cdots x_{m}) = \varphi(x_{1}) \cdots \varphi(x_{m})\)} for all \(x_{1}, \dotsc ,x_{m}\in \mathfrak{R}.\) In this article, we establish a condition on generalized matrix rings, that assures that multiplicative maps are additive. And then, we apply our result for study of \(m\)-multiplicative isomorphisms and \(m\)-multiplicative derivations on generalized matrix rings.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://cubo.ufro.cl/ojs/index.php/cubo/article/view/3631/2350
dc.rightsCopyright (c) 2024 A. Jabeen et al.en-US
dc.rightshttps://creativecommons.org/licenses/by-nc/4.0/en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 26 No. 1 (2024); 33–51en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 26 No. 1 (2024); 33–51es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectm-multiplicative mapsen-US
dc.subjectm-multiplicative derivationsen-US
dc.subjectgeneralized n-matrix ringsen-US
dc.subjectadditivityen-US
dc.subject16W99en-US
dc.subject47B47en-US
dc.subject47L35en-US
dc.titleMultiplicative maps on generalized \(n\)-matrix ringsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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