| Title: | Characterizing homomorphisms, derivations and multipliers in rings with idempotents |
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| Authors: | ID Brešar, Matej (Author) |
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| Files: |  http://www.ingentaconnect.com/content/rse/proca
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FNM - Faculty of Natural Sciences and Mathematics
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| Abstract: | V določenih kolobarjih z necentralnimi idempotenti karakteriziramo homomorfizme, odvajanja in multilplikatorje z njihovim delovanjem na elementih, ki zadoščajo določenim zvezam. Tako je npr. obravnavan pogoj, da aditivna preslikava ▫$h$▫ med kolobarjema ▫$mathcal{A}$▫ in ▫$mathcal{B}$▫ zadošča ▫$h(x)h(y)h(z)=0$▫ kadarkoli je ▫$xy=yz=0$▫. Kot aplikacijo dobimo nove rezultate o lokalnih odvajanjih in lokalnih multiplikatorjih. Med drugim dokažemo, da je vsako odvajanje na prakolobarju z netrivialnim idempotentom odvajanje. |
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| Keywords: | matematika, kolobar, idempotent, homomorfizem, odvajanje, multiplikator, mathematics, ring, idempotent, homomorphism, derivation, multiplier |
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| Year of publishing: | 2007 |
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| Number of pages: | str. 9-21 |
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| Numbering: | Vol. 137, no. 1 |
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| PID: | 20.500.12556/DKUM-51589  |
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| UDC: | 512.552 |
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| ISSN on article: | 0308-2105 |
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| COBISS.SI-ID: | 14253145 |
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| NUK URN: | URN:SI:UM:DK:AOB5F8TH |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 1039 |
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| Downloads: | 76 |
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| Metadata: |    |
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| Categories: | Misc.
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