A subvariety of idemportent semiring variety
Zhu Tian-min, Xianzhong Zhao · Journal of Northwest University · 2005
Aim To study a very important class of idempotent semiring,so-called multiplicative band semirings.Methods Characterize the mutiplicative band semirings in different ways.Results The characters is given on of the idempotent semiring in R·D research the suddirect product decomposition.Conclusion Semirings S belongs to R·D if and only if Green′s D-relation D· on the mutiplication reduct(S,·) of S is lattice Congruence on S;R·D=L·_zD∨R·_zD.