Weakly commuting maps on the set of rank-1 matrices
| Autor: | Willian Franca |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Ring (mathematics)
Algebra and Number Theory Rank (linear algebra) 010102 general mathematics Field (mathematics) Natural number 010103 numerical & computational mathematics 01 natural sciences Combinatorics Set (abstract data type) If and only if ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION 0101 mathematics Mathematics |
| Zdroj: | Linear and Multilinear Algebra. 65:475-495 |
| ISSN: | 1563-5139 0308-1087 |
| DOI: | 10.1080/03081087.2016.1192576 |
| Popis: | Let be a natural number. Let be the ring of all matrices over an arbitrary field . In the present paper, we will find the description of all additive mappings such that for all , where ( and are matrices units). As an application we will characterize all additive maps such that for all , where represents the set formed by all rank-1 matrices of . Precisely, we will show that for all if and only if for all . |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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