Browsing Articole din publicaţii naţionale by Author "GARDNER, Barry"

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On skew polynomial rings and some related rings

COJUHARI, Elena; GARDNER, Barry (Institute of Mathematics and Computer Science, ASM, 2014)

For a ring A with identity and a monoid G we consider "monoid rings" with respect to G over A where the multiplication (a¢x)(b ¢ y) (a; b 2 A; x; y 2 G) is determined by a monoid homomorphism G ! End(A). Examples include ...
Radicals and generalizations of derivations

COJUHARI, Elena; GARDNER, Barry (Institutul de Matematică şi Informatică al AŞM, 2017)

By results of Slin’ko and of Anderson, the locally nilpotent and nil radicals of algebras over a field of characteristic 0 are preserved by derivations. This note deals with radical preservation by various generalizations ...

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