| Title: | Identities with derivations and automorphisms on semiprime rings |
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| Authors: | ID Vukman, Joso (Author) |
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| Files: |  International_Journal_of_Mathematics_and_Mathematical_Sciences_2005_Vukman_Identities_with_derivations_and_automorphisms_on_semiprime_ri.pdf (1,81 MB)
MD5: F22A249BA70EDB40122247F53267298B
 http://www.hindawi.com/journals/ijmms/2005/946824/abs/
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | PEF - Faculty of Education
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| Abstract: | The purpose of the paper is to investigate identities with derivations and automorphisms on semiprime rings. A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative. Mayne proved that in case there exists a nontrivial centralizing automorphism on a prime ring, then the ring is commutative. In this paper, some results related to Posner's theorem as well as to Mayne's theorem are proved. |
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| Keywords: | mathematics, algebra, associative rings and algebras, derivations, prime rings, semiprime rings, automorphisms |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 2005 |
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| Number of pages: | str. 1031-1038 |
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| Numbering: | Letn. 2005, št. 7 |
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| PID: | 20.500.12556/DKUM-66191  |
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| ISSN: | 0161-1712 |
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| UDC: | 512.552 |
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| ISSN on article: | 0161-1712 |
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| COBISS.SI-ID: | 14107912 |
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| DOI: | 10.1155/IJMMS.2005.1031 |
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| NUK URN: | URN:SI:UM:DK:DIWUYT8X |
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| Publication date in DKUM: | 14.06.2017 |
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| Views: | 1288 |
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| Downloads: | 421 |
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| Metadata: |    |
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| Categories: | Misc.
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