Multiplicative maps on generalized n-matrix rings
Abstract Let ℜ and ℜ ′ be two associative rings (not necessarily with identity elements). A bijective map φ of ℜ onto ℜ ′ is called an m-multiplicative isomorphism if φ(x 1 · · · x m ) = φ(x 1 )· · · φ(x m ) for all x 1 , . . . , x m ∈ 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.
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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Universidad de La Frontera. Departamento de Matemática y Estadística.
2024
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| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462024000100033 |
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