Journal of Lanzhou University of Technology ›› 2021, Vol. 47 ›› Issue (3): 167-169.

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Full π-regular subsemigroup lattices of π-regular semigroups

TIAN Zhen-ji, MA Cun-de   

  1. School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China
  • Received:2020-01-02 Online:2021-06-28 Published:2021-07-19

Abstract: The properties and characteristics of full π-regular subsemigroup lattices of π-regular semigroups are mainly studied, and further present the necessary and sufficient conditions for full π-regular subsemigroup lattices of π-regular semigroups to be distributive lattice.

Key words: π-regular semigroups, full π-regular subsemigroup, lattices, distributive lattices

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