THE I-CONGRUENCES ON A REGULAR SEMIGROUP
Zhang Moucheng; Li Yonghua(Dept. of Maths, South China Normal University, Guangzhou 510631, China)
Let S be a regular semigroup and ConS be the set of all congruences on S. For ρ,∈ConS, this paper gives a few equivalent conditions that ρ is an I-congruence on S,and a necessary and sufficient condition which ρ∧σ and ρ∨σare I-congruenes on S respectively if ρ and σ are the I-congruences on S.
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