Zero-Semidistributive Inverse Semigroups

REFERENCES

• Ershova , T. I. ( 1969 ). Inverse semigroups with certain types of inverse subsemigroups . Mat. Zap. Ural. Univ. 1 : 62 – 76 .
   Google Scholar
• Howie , J. M . ( 1995 ). Fundamentals of Semigroup Theory . Oxford : Clarendon Press .
   Google Scholar
• Johnston , K. G. , Jones , P. R. ( 1987 ). Modular inverse semigroups . J. Austral. Math. Soc. (Series A) 43 : 47 – 63 .
   Google Scholar
• Johnston , K. G. , Jones , P. R. ( 2001 ). Semidistributive inverse semigroups . J. Austral. Math. Soc. 71 : 37 – 51 .
   Google Scholar
• Jones , P. R. ( 1978a ). Semimodular inverse semigroups . J. London Math. Soc. 17 : 446 – 456 .
   Web of Science ®Google Scholar
• Jones , P. R. ( 1978b ). Distributive inverse semigroups . J. London Math. Soc. 17 : 457 – 466 .
   Google Scholar
• Jones , P. R . ( 1990 ). Inverse semigroups and their lattices of inverse subsemigroups . In: et al. ., eds. Lattices, Semigroups, and Universal Algebra . New York : Plenum , pp. 115 – 127 .
   Google Scholar
• Jones , P. R. , Tian , Z. , Xu , Z. ( 2005 ). On the lattice of full eventually regular subsemigroups . Communications in Algebra 33 : 2587 – 2600 .
   Web of Science ®Google Scholar
• Petrich , M. ( 1984 ). Inverse Semigroups . New York : Wiley .
   Google Scholar
• Shevrin , L. N. , Ovsyannikov , A. J . ( 1996 ) Semigroups and their Subsemigroup Lattices . Dordrecht : Kluwer .
   Google Scholar
• Shiryaev , V. M. ( 1985 ). Semigroups with ∧-semidistributive subsemigroup lattice . Semigroup Forum 31 : 47 – 68 .
   Google Scholar
• Suzuki , M. ( 1956 ). Structure of a Group and the Structure of its Lattice of Subgroups . Berlin : Springer-Verlag .
   Google Scholar
• Tian , Z. ( 1998 ). π-inverse semigroups whose lattice of π-inverse subsemigroups is 0-distributive or 0-modular . Semigroup Forum 58 : 334 – 338 .
   Google Scholar
• Tian , Z. ( 2000 ). π-inverse semigroups whose lattice of π-inverse subsemigroups is ∧-semidistributive . Semigroup Forum 61 : 333 – 340 .
   Web of Science ®Google Scholar
• Tian , Z. ( 2002 ). Eventually inverse semigroups whose lattice of eventually inverse subsemigroups is semimodular . Semigroup Forum 66 : 81 – 88 .
   Google Scholar
• Communicated by P. Higgins.
   Google Scholar