论文标题
有限逆半群的半度身份
Semiring identities of finite inverse semigroups
论文作者
论文摘要
我们研究有限的添加性型半肌的有限基础问题，其乘法还原为反向半群。特别是，我们表明，每个杂种的乘法还原是一个非平凡的rok单型，都没有有限的身份基础，因此几乎所有添加性的型半尿素都是多重的，其多重降低是组合的逆半亲组。
We study the Finite Basis Problem for finite additively idempotent semirings whose multiplicative reducts are inverse semigroups. In particular, we show that each additively idempotent semiring whose multiplicative reduct is a nontrivial rook monoid admits no finite identity basis, and so do almost all additively idempotent semirings whose multiplicative reducts are combinatorial inverse semigroups.
