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The K°-relation on the Congruence Lattice of a Regular Semigroup with an Inverse Transversal

作者:Ying; Ying; FENG; Li; Min; WANG正则半群同余格逆断面电话号码等价条件

摘要:Let S be a regular semigroup with an inverse transversal S° and C(S) the congruence lattice of S. A relation K° on C(S) is introduced as follows: if ρ, θ∈ C(S), then we say that ρ and θ are K°-related if Ker ρ° = Ker θ° , where ρ° = ρ|S°. Expressions for the least and the greatest congruences in the same K°-class as ρ are provided. A number of equivalent conditions for K° being a congruence are given.

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