Browsing Articole ştiinţifice by Subject "radicals"

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  • The behaviour of the inverse operations in the class of preradicals in special cases 
    JARDAN, Ion (Universitatea de Stat din Tiraspol, 2020)
    In [4], [5], [6] four new operations are introduced and studied in the class of preradicals PR of the category 𝑅-Mod of left 𝑅-modules, and is shown the behaviour of these operations in the case of some special types of ...
  • 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 ...
  • 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.

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