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Group Rings and Their Augmentation Ideals
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The residual nilpotence of an augmentation ideal is the residue of the group ring of a group ring as mentioned in this paper, and the associated graded ring of the associated group ring is the residual residue of an augmented ideal.Abstract:
Polynomial ideals in group rings.- Dimension subgroups.- Group rings of nilpotent groups.- Dimension subgroups over fields.- Polynomial maps on groups and dimension subgroups.- The residual nilpotence of the augmentation ideal.- The nilpotent residue of an augmentation ideal.- The associated graded ring of a group ring.read more
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