Journal of Advances in Applied Mathematics

Download PDF (490.2 KB) PP. 234 - 240 Pub. Date: October 1, 2016

DOI: 10.22606/jaam.2016.14004

• Yu Wang^*
  Department of Mathematics, Anhui University of Science and Technology, Huainan, Anhui 232001, P. R. China
• Yong Yu
  Department of Mathematics, Anhui University of Science and Technology, Huainan, Anhui 232001, P. R. China

The aim of this paper is to study two particular GV-semigroups whose full subsemigroups form 0-semidistributive lattices. The structure of GV-inverse semigroups whose full subsemigroup lattices are 0-semidistributive is first characterized. Moreover, much more explicit structural description is obtained for orthodox GV-semigroups by establishing an inverse semigroup congruence.

GV-semigroup, full subsemigroup lattice, 0-semidistributive lattice.

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