| Title: | An Engel condition with an additive mapping in semiprime rings |
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| Authors: | ID Fošner, Maja (Author)
ID Rehman, Nadeem Ur (Author)
ID Vukman, Joso (Author)
ID Indian Academy of Sciences (Copyright holder) |
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| Files: |  Proceedings_-_Mathematical_Sciences_2014_FOSNER,_REHMAN,_VUKMAN_An_Engel_condition_with_an_additive_mapping_in_semiprime_rings.pdf (104,05 KB)
MD5: 06F119CCEA9FF8893FA0DDDAF81C6B3C
 http://link.springer.com/10.1007/s12044-014-0205-4
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FL - Faculty of Logistic
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| Abstract: | The main purpose of this paper is to prove the following result: Let n > 1 be a fixed integer, let R be a n!-torsion free semiprime ring, and let f : R -> R be an additive mapping satisfying the relation [f (x), x]n = [[. . . [[f (x), x], x], . . .], x] = 0 for all x = R. In this case [f (x), x] = 0 is fulfilled for all x = R. Since any semisimple Banach algebra (for example, C algebra) is semiprime, this purely algebraic result might be of some interest from functional analysis point of view. |
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| Keywords: | mathematics, algebra, semiprime rings, derivation |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 2014 |
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| Number of pages: | str. 497-500 |
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| Numbering: | Letn. 124, št. 4 |
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| PID: | 20.500.12556/DKUM-66472  |
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| ISSN: | 0973-7685 |
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| UDC: | 512.5 |
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| ISSN on article: | 0973-7685 |
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| COBISS.SI-ID: | 512610109 |
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| DOI: | 10.1007/s12044-014-0205-4 |
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| NUK URN: | URN:SI:UM:DK:RWJVTWGF |
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| Publication date in DKUM: | 27.06.2017 |
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| Views: | 1411 |
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| Downloads: | 597 |
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| Metadata: |    |
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| Categories: | Misc.
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