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双交换 AG-群胚的枚举

群论 2019-10-18 v4

作者: Muhammad Rashad , Imtiaz Ahmad , Muhammad Shah , A. B. Saeid

在 arXiv 上查看 ↗ PDF ↗

摘要

满足左逆律 $ab\cdot c=cb\cdot a$ 的群胚称为 AG-群胚，它是交换半群的推广。我们考虑 AG-群胚中的双交换性概念，从而引入左交换 AG-群胚、右交换 AG-群胚和双交换 AG-群胚。

关键词

AG-群胚双交换性左逆律枚举交换半群代数结构

引用

@article{arxiv.1403.5393,
  title  = {Enumeration of Bi-commutative AG-groupoids},
  author = {Muhammad Rashad and Imtiaz Ahmad and Muhammad Shah and A. B. Saeid},
  journal= {arXiv preprint arXiv:1403.5393},
  year   = {2019}
}

备注

Though the old version had good results but had some serious mistakes in Theorem 1 and some misprints. So it is revised