The Lattice of Partial ∗-Congruence Pairs for Quasi Regular ∗-Semigroups 1
Aixia Ding, Song Yun-na, Jiong Wang · 2011
Let S be a quasi regular ∗-semigroup. In this paper, we discuss that the set of partial ∗-congruence pairs for S forms a complete lattice, which is a completely ∧-homomorphic image of C ∗ (S), where C ∗ (S) is the complete lattice of ∗-congruences on S, and explore the relationships between the lattice of partial projection kernel normal systems for S, the lattice of partial ∗-congruence pairs for S and C ∗ (S). Mathematics Subject Classification: 20M35