subsemigroup lattice
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2013 ◽  
Vol 06 (04) ◽  
pp. 1350046
Author(s):  
Yu Wang ◽  
Zhixiang Yin

The structure of a completely π-regular semigroup with 0-modular or 0-distributive subsemigroup lattice is given. Furthermore, it is shown that an eventually inverse semigroup to have 0-modular or 0-distributive subsemigroup lattice is a completely π-regular semigroup which is a semilattice of completely archimedean semigroups. Thus the structure of an eventually inverse semigroup whose subsemigroup lattice is 0-modular or 0-distributive is characterized as well.


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