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Ideals in group rings of free products

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Abstract

LetG be a group andRG be its group ring. IfA is a nonzero ideal ofRG, we prove that for certain normal subgroupsH ofG, including all nontrivial subgroups ofG whenG is a free product,A∩RH≠0.

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References

  1. D. S. Passman,The Algebraic Structure of Group Rings, Wiley-Interscience, 1977.

  2. M. K. Smith,Centralizers in rings of quotients of group rings, J. Algebra25 (1973), 158–164.

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Authors and Affiliations

  1. The Institute for Advanced Studies, The Hebrew University of Jerusalem, Jerusalem, Israel

    Edward Formanek & A. I. Lichtman

  2. The Pennsylvania State University, 16802, University Park, Pennsylvania, USA

    Edward Formanek & A. I. Lichtman

  3. Ben Gurion University of the Negev, Beer Sheva, Israel

    Edward Formanek & A. I. Lichtman

Authors
  1. Edward Formanek
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  2. A. I. Lichtman
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Formanek, E., Lichtman, A.I. Ideals in group rings of free products. Israel J. Math. 31, 101–104 (1978). https://doi.org/10.1007/BF02761385

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  • DOI: https://doi.org/10.1007/BF02761385

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