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PreprintCC BY 4.0arXiv

The variety generated by all additively idempotent semirings of order four

  • Mengya Yue
  • Xiaolei Shao
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Abstract

We prove that the variety generated by all four-element additively idempotent semirings has no finite basis for its identities.

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Cite

BibTeXRIS
BibTeX
@misc{yue2026variety,
  title = {{The variety generated by all additively idempotent semirings of order four}},
  author = {Mengya Yue and Xiaolei Shao},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.20568},
  eprint = {2609.20568},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.20568},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - The variety generated by all additively idempotent semirings of order four
AU  - Mengya Yue
AU  - Xiaolei Shao
PY  - 2026
DA  - 2026/09/17
PB  - arXiv
DO  - 10.48550/arxiv.2609.20568
UR  - https://arxiv.org/abs/2609.20568
AB  - We prove that the variety generated by all four-element additively idempotent semirings has no finite basis for its identities.
ER  -