彭娇, 宫春梅. 幂等元集为正规带的r-宽大半群[J]. 云南大学学报(自然科学版), 2022, 44(5): 895-901. doi: 10.7540/j.ynu.20210589
引用本文: 彭娇, 宫春梅. 幂等元集为正规带的r-宽大半群[J]. 云南大学学报(自然科学版), 2022, 44(5): 895-901. doi: 10.7540/j.ynu.20210589
PENG Jiao, GONG Chun-mei. r-wide semigroups whose idempotents form normal band[J]. Journal of Yunnan University: Natural Sciences Edition, 2022, 44(5): 895-901. DOI: 10.7540/j.ynu.20210589
Citation: PENG Jiao, GONG Chun-mei. r-wide semigroups whose idempotents form normal band[J]. Journal of Yunnan University: Natural Sciences Edition, 2022, 44(5): 895-901. DOI: 10.7540/j.ynu.20210589

幂等元集为正规带的r-宽大半群

r-wide semigroups whose idempotents form normal band

  • 摘要: 研究幂等元集为正规带的r-宽大半群的结构,证明了半群S是一个幂等元集为正规带的r-宽大半群,当且仅当S同构于一个左正规带、右正规带和弱适当半群的拟织积.

     

    Abstract: The structure of r-wide semigroups whose idempotents form normal band is studied. We prove that a semigroup is r-wide semigroup whose idempotents form normal band if and only if it is isomorphic to a quasi-spined product of a left normal band, a right normal band and a weakly adequate semigroup.

     

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