JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (8): 87-91.doi: 10.6040/j.issn.1671-9352.0.2019.240

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Structure of weakly type σ semigroups

GONG Chun-mei, GAO Wen, YUAN Ying   

  1. School of Science, Xian University of Architecture and Technology, Xian 710055, Shaanxi, China
  • Published:2020-07-14

Abstract: The definition of weakly type σ semigroups is given and the quasispinded product structure of weakly type σ semigroups is established. It is proved that a semigroup S is a weakly typeσ semigroup if and only ifS is a quasispinded product of a semiadequate semigroup T and a left regular band I.

Key words: weakly type σ semigroups, semiadequate semigroups, left regular bands, quasi-spinded product

CLC Number: 

  • O152.7
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