JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (6): 6-12.doi: 10.6040/j.issn.1671-9352.0.2023.045

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Good congruences on r-wide semigroups whose idempotents form normal band

Chunmei GONG(),Jiao PENG*(),Xuena bai   

  1. School of Science, Xi'an University of Architecture and Technology, Xi'an 710055, Shaanxi, China
  • Received:2023-02-14 Online:2024-06-20 Published:2024-06-17
  • Contact: Jiao PENG E-mail:meigongchu@163.com;pengjiaoyx@163.com

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Abstract:

The definition of good congruence pairs is established by means of quasi-spined product structure of r-wide semigroups whose idempotents form normal band, and then, any good congruences of r-wide semigroups whose idempotents form normal band are characterized by using the good congruence pairs.

Key words: r-wide semigroup, normal band, good congruence, good congruence pair

CLC Number: 

  • O152.7
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