某些幂等元半环拟簇中成员的结构

The Structure of the Members in Some Quasivarieties of Idempotent Semirings

用V1,V2,V3和V4表示正规带的4个给定的拟簇.利用幂等元半环上的同余关系分别给出了.V1,.V2,.V3和.V4中成员的次直积分解和这些拟簇的M al'cev积分解,并借助Zhao X Z的"(2,2)型代数的坚固构架"理论揭示了.V1∩N.B,.V3∩中.NB成员的次直积分解与坚固构架之间的密切联系。

Denote the four given quasivarieties of normal bands by V1,V2,V3 and V4.In this paper,the subdirect product decomposition of the members in V·1,V·2,V·3 and V·4 and the Mal＇cev product decomposition of the quasivarieties are given by means of the congruences on the idempotent semirings,respectively.And the close relationship between the subdirect product decomposition and sturdy frame of the members in V·1∩N·B,V·3∩N·B is revealed by using the theory of sturdy frame of type（2,2） algebras in Zhao X Z.