Jordan homomorphisms revisited
Abstract
Naj bo ▫$\theta$▫ jordanski homomorfizem iz algebre ▫$A$▫ v algebro ▫$B$▫. Poiskani so različni pogoji, iz katerih sledi, da je zožitev ▫$\theta$▫ na komutatorski ideal ▫$A$▫ vsota homomorfizma in antihomomorfizma. Algebraični rezultati, dobljeni v prvem delu članka, so uporabljeni v drugem delu, ki obravnava primer, ko sta ▫$A$▫ in ▫$B$▫ ▫$C^\ast$▫-algebri.
Keywords
matematika;algebra;jordanski homomorfizem;▫$C^\ast$▫-algebra;mathematics;Jordan homomorphism;
Data
| Language: | English |
|---|---|
| Year of publishing: | 2008 |
| Typology: | 1.01 - Original Scientific Article |
| Organization: | UM PEF - Faculty of Education |
| UDC: | 512.552 |
| COBISS: |
14657369
|
| ISSN: | 0305-0041 |
| Views: | 612 |
| Downloads: | 77 |
| Average score: | 0 (0 votes) |
| Metadata: |
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Other data
| Secondary language: | Unknown |
|---|---|
| Secondary title: | Nov pristop k jordanskim homomorfizmom |
| Secondary abstract: | Let ▫$\theta$▫ be a Jordan homomorphism from an algebra ▫$A$▫ into an algebra ▫$B$▫. We find various conditions under which the restriction of ▫$\theta$▫ to the commutator ideal of ▫$A$▫ is the sum of a homomorphism and an antihomomorphism. Algebraic results, obtained in the first part of the paper, are applied to the second part dealing with the case where ▫$A$▫ and ▫$B$▫ are ▫$C^\ast$▫-algebras. |
| Secondary keywords: | matematika;algebra;jordanski homomorfizem;algebra;▫$C^\ast$▫-algebra; |
| URN: | URN:SI:UM: |
| Type (COBISS): | Not categorized |
| Pages: | str. 317-328 |
| Volume: | ǂVol. ǂ144 |
| Issue: | ǂiss. ǂ2 |
| Chronology: | 2008 |
| ID: | 1473548 |
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