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Ideals and Centralizing Mapping onPrime Rings

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dc.contributor.author Mohammed, Asmaa Dafaalla Abuagla
dc.date.accessioned 2018-11-15T11:52:51Z
dc.date.available 2018-11-15T11:52:51Z
dc.date.issued 2018-05-12
dc.identifier.uri http://repo.uofg.edu.sd/handle/123456789/2963
dc.description A Dissertation Submitted to the University of Gezira in Partial Fulfillment of the Requirements for the Award of the Degree of Master of Science in Mathematics Department of Mathematics Faculty of Mathematical and Computer Sciences,May, 2018 en_US
dc.description.abstract In recent times, the concept of centralizing in rings was initiated by the classical result of Posner (Edward, 1957) and have been extensively studied by many authors such as (Mayne, 1982) and (Vukman, 1988) they have investigated the invariance of certain ideals under derivations. The aim of this work is to study the concept of centralizing on rings of both types; prime and semi prime. One of the nicest properties of rings is being commutative and even more if the commutative rings contains a centralized ideals. In our study we use the method of inductive scientific style to investigate commutative of prime rings satisfying identitiesinvolving additive mappings and derivations. Moreover, some relationships between centralizing and derivations of prime rings have been studied. The important results obtained from this study is that: if the ring is commutative then the center of ring equal the ring itself. If the ring is non-commutative thenthe center equal zero. This study recommend that, we use other type of ring (semi prime for example) and study Jordan derivations, Jordan left derivation and comparing these results. en_US
dc.description.sponsorship Abdelrahim Basher Hamid Basher ( Main Supervisor ) Osman Omer Osman ( Co-supervisor ) en_US
dc.language.iso en en_US
dc.publisher University of Gezira en_US
dc.subject Mathematics en_US
dc.subject Concentration in rings en_US
dc.subject Derivatives en_US
dc.subject Scientific conclusion en_US
dc.title Ideals and Centralizing Mapping onPrime Rings en_US
dc.type Thesis en_US

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