陈晔, 李勇华. PCA分块Rees矩阵半群[J]. 华南师范大学学报(自然科学版), 2011, (1).
引用本文: 陈晔, 李勇华. PCA分块Rees矩阵半群[J]. 华南师范大学学报(自然科学版), 2011, (1).
PCA blocked Rees matrix semigroups[J]. Journal of South China Normal University (Natural Science Edition), 2011, (1).
Citation: PCA blocked Rees matrix semigroups[J]. Journal of South China Normal University (Natural Science Edition), 2011, (1).

PCA分块Rees矩阵半群

PCA blocked Rees matrix semigroups

  • 摘要: 用-幺半群和这类半群的双系构造了PCA分块Rees矩阵半群,这类半群是PA分块Rees矩阵半群的一种推广,并举例表明一个半群可以是PCA分块Rees矩阵半群,但不是PA分块Rees矩阵半群.

     

    Abstract: Fountain used cancellative monoids and bisystems of cancellative monoids to construct PA blocked Rees matrix semigroups, the structure of which extended Rees matrix semigroups over cancellative monoids. We construct PCA blocked Rees matrix semigroups by -monoids and bisystems of -monoids. PA blocked Rees matrix semigroups are PCA blocked Rees matrix semigroups. An example is given to illustrate a semigroup can be a PCA blocked Rees matrix semigroup but not a PA blocked Rees matrix semigroup.

     

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