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Browsing Articole din publicaţii internaţionale by Author "GARDNER, B. J."

Browsing Articole din publicaţii internaţionale by Author "GARDNER, B. J."

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  • Further Remarks on Elementary Radicals and Associated Filters of Ideals 
    COJUHARI, E. P.; GARDNER, B. J. (Australian Mathematical Publishing Association Inc., 2021)
    Ryabukhin showed that there is a correspondence between elementary radical classes of rings and certain filters of ideals of the free ring on one generator, analogous to the Gabriel correspondence between torsion classes ...
  • Generalized higher derivations 
    COJUHARI, E. P.; GARDNER, B. J. (Australian Mathematical Publishing Association Inc., 2012)
    A type of generalized higher derivation consisting of a collection of self-mappings of a ring associated with a monoid, and here called a D-structure, is studied. Such structures were previously used to define various kinds ...
  • Preservation of radicals by generalizations of derivations 
    COJUHARI, E. P.; GARDNER, B. J. (Institutul de Matematică şi Informatică al AŞM, 2017)
    By results of Anderson and Slin’ko, derivations preserve the locally nilpotent and nil radicals of algebras over a field of characteristic 0. There is also a well known and elementary result that derivations preserve ...
  • Radicals and idempotents I 
    COJUHARI, E. P.; GARDNER, B. J. (Taylor & Francis, 2021)
    A corner of a ring A is a subring eAe, where e is an idempotent. Radical and semi-simple classes which are hereditary for corners and cases where the radical of a ring contains all radical corners are studied.
  • Skew ring extensions and generalized monoid rings 
    COJUHARI, E. P.; GARDNER, B. J. (Springer Nature Switzerland, 2018)
    A D-structure on a ring A with identity is a family of self-mappings indexed by the elements of a monoid G and subject to a long list of rather natural conditions. The mappings are used to define a generalization of the ...

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