Ideals in group rings of free products |
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Authors: | Edward Formanek A I Lichtman |
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Institution: | (1) The Institute for Advanced Studies, The Hebrew University of Jerusalem, Jerusalem, Israel;(2) The Pennsylvania State University, 16802 University Park, Pennsylvania, USA;(3) Ben Gurion University of the Negev, Beer Sheva, Israel |
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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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