English

Jordan Nilpotent Group Rings of index $4$

Rings and Algebras 2026-01-01 v1

Abstract

Let RGRG be the group ring of an arbitrary group GG over an associative non-commutative ring RR with identity. In this paper, we have obtained the necessary and sufficient conditions under which RGRG is Jordan nilpotent of index 44.

Keywords

Cite

@article{arxiv.2512.24033,
  title  = {Jordan Nilpotent Group Rings of index $4$},
  author = {Meena Sahai and Sachin Singh},
  journal= {arXiv preprint arXiv:2512.24033},
  year   = {2026}
}

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6 pages