Semigroups whose subsemigroup lattice is complemented

S. I. Katsman

doi:10.1007/bf00966557

Semigroups whose subsemigroup lattice is complemented

Siberian Mathematical Journal ◽

10.1007/bf00966557 ◽

1975 ◽

Vol 15 (6) ◽

pp. 899-905

Author(s):

S. I. Katsman

Keyword(s):

Subsemigroup Lattice

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A finite interval in the subsemigroup lattice of the full transformation monoid

Semigroup Forum ◽

10.1007/s00233-013-9537-0 ◽

2013 ◽

Vol 89 (1) ◽

pp. 183-198

Author(s):

J. Jonušas ◽

J. D. Mitchell

Keyword(s):

Finite Interval ◽

Full Transformation ◽

Transformation Monoid ◽

Subsemigroup Lattice

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TWO PARTICULAR EVENTUALLY REGULAR SEMIGROUPS WITH 0-MODULAR OR 0-DISTRIBUTIVE SUBSEMIGROUP LATTICES

Asian-European Journal of Mathematics ◽

10.1142/s1793557113500460 ◽

2013 ◽

Vol 06 (04) ◽

pp. 1350046

Author(s):

Yu Wang ◽

Zhixiang Yin

Keyword(s):

Inverse Semigroup ◽

Regular Semigroup ◽

Regular Semigroups ◽

Subsemigroup Lattice

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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