7 papers
The finite basis problem for matrix semirings
Jun Jiao, Miaomiao Ren
We first prove that two matrix semirings and are equationally equivalent whenever additively idempotent semirings and are equati…
The flat semirings with nilpotent multiplicative reducts
Zidong Gao, Miaomiao Ren
In this paper, we focus on the variety generated by all flat semirings with -nilpotent multiplicative reducts. By introducing graph semirings, we characterize al…
The finite basis problem for matrix semirings over a two-element additively idempotent semiring
Jun Jiao, Miaomiao Ren
We provide a complete classification of matrix semirings over two-element additively idempotent semirings with respect to the finite basis property.Our main t…
The Interval of Semiring Varieties Has the Cardinality of the Continuum
Zidong Gao, Miaomiao Ren, Mengya Yue
We prove that the interval in the lattice of additively idempotent semiring (ai-semiring) varieties has the cardinality of the continuum,where…
Every additively idempotent semiring satisfying is finitely based
Mengya Yue, Miaomiao Ren
We study the finite basis problem for additively idempotent semirings satisfying the identity . Let denote the variety of all such semirings. Yue et al.…
The finite basis problem for additively idempotent semirings of order four, III
Miaomiao Ren, Zexi Liu, Mengya Yue +1
We study the finite basis problem for -element additively idempotent semirings whose additive reducts have two minimal elements and one coatom. Up to isomorphism, there are $112…