ON IDEALS OF THE COEFFICIENT RINGS IN GROUP RINGS

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Published: Sep 1, 1994
DOI: https://doi.org/10.5556/j.tkjm.25.1994.4442
Keywords:
Group ring ring isomorphism lattice of ideals torsion ideal Jordan ideal nil-ideal

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SUSHMA SAINI
Department of Mathematics, Guru Nanak Dev University, Amritsar-143005, India.

Abstract




Let $R$ and $S$ be rings, $G$ any group. If the group rings $RG$ and $SG$ are isomorphic as rings, we formulate a correspondence between the ideals of $R$ and those of $S$ and show that this correspondence is one-to-one in case $R$ and $S$ are isomorphic. It is shown that this correspondence also works for Jordan ideals, provided that $G$ is abelian.




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How to Cite
SAINI, S. (1994). ON IDEALS OF THE COEFFICIENT RINGS IN GROUP RINGS. Tamkang Journal of Mathematics, 25(3), 189–194. https://doi.org/10.5556/j.tkjm.25.1994.4442
Issue
Vol. 25 No. 3 (1994)
Section
Papers
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