具有中间幂等元的r-宽大半群

r-wide semigroups with medial idempotents

  • 摘要: 讨论了r-宽大半群上的中间幂等元及其相关幂等元的性质. 借此,证明了具有弱型A可乘中间幂等元u的r-宽大半群是自然序r-宽大半群,其中u是最大幂等元.

     

    Abstract: The properties of medial and their related idempotents in r-wide semigroups are discussed. Based on this, we proved that r-wide semigroups with a weakly type A multiplicative medial idempotent u are naturally ordered r-wide semigroups and u is a maximum idempotent.

     

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