Showing math.GRShow all
2 papers · 1 filter
math.GR2026
The variety generated by all additively idempotent semirings of order four
Mengya Yue, Xiaolei Shao
We prove that the variety generated by all four-element additively idempotent semirings has no finite basis for its identities.
math.GR2026
The finite basis problem for the power semirings of finite groups
Zidong Gao, Miaomiao Ren, Xiaolei Shao +1
For any group , the set of all nonempty subsets of forms an additively idempotent semiring under set-theoretic union and elementwise multiplication, called the power semirin…