半环簇 CO S n + 的一些子簇  

Some Subvarieties of Semiring Variety CO S n +

作　　者：胡玉 

机构地区：[1]重庆理工大学理学院,重庆

出　　处：《理论数学》2024年第11期132-143,共12页Pure Mathematics

摘　　要：研究半环簇COSn+中半环的格林关系,给出此类半环的H+∧L⋅,H+∧R⋅,H+∧D⋅,H+∨L⋅,H+∨R⋅,H+∨D⋅关系的等价刻画,得到上述关系为同余的充分必要条件,证明由上述格林关系决定的半环类都是COSn+的子簇。This paper mainly studies the Green’s relations of COSn+, discusses the characterizations of the Green’s relations of H+∧L⋅,H+∧R⋅,H+∧D⋅,H+∨L⋅,H+∨R⋅,H+∨D⋅and obtains the necessary and sufficient conditions for the above relations to be congruent. It is proved that the semiring classes determined by these relations are all subvarieties of COSn+.

关 键 词：半环 格林关系 簇 

分 类 号：O15[理学—数学]