Browsing Articole din publicaţii internaţionale by Subject "radicals"

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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 ...
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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