CR(n,1)中半环上格林关系的开同余

Congruence openings of Green′s relations on a class of semiring CR(n,1)

首先给出了加法半群是带,乘法半群是完全正则半群的半环上的格林关系所确定的开同余的刻画,并对其相关性质做了一定的探讨,最后证明了CR(n,1)中半环上的S/L°,S/R°分别是左、右约简的.

Firstly,we give the characterizations of congruence openings de ned by the Green′s-relations of a semiring variety whose additive reduct is band and multiplicative reduct is completely regular semigroup.We also made some discusions on the properties of congruence openings. nally,we proved that the relations of S=L_?;S=R_?on semiring variety CR(n;1)are left or right reduced.