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Ideal lattices of semigroup of doubly stochastic matrices

Group Theory 2023-07-20 v1

Abstract

In this paper we illustrate the rule for finding number of idempotents in the doubly stochastic matrix DnD_n and also locate the idempotents for the semigroups D3D_3 and D4D_4. Further describe idempotent generated ideals of these semigroups and it is shown that these idempotent generated ideals form lattices.

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Cite

@article{arxiv.2307.09889,
  title  = {Ideal lattices of semigroup of doubly stochastic matrices},
  author = {P G Romeo and Riya Jose},
  journal= {arXiv preprint arXiv:2307.09889},
  year   = {2023}
}

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7 pages 0 figures