摘要
本文讨论了夹心半群T(X,Y,θ)上的同余与集合Y上Tθ-等价关系之间的联系,建立了从夹心半群的同余格C(T(X,Y,θ))到Y上的Tθ-等价关系格Tθeq(Y)的满同态C和从Tθeq(Y)到C(T(X,Y,θ))的单同态γ.讨论了Y上最小真Tθ-等价关系以及半群T(X,Y,θ)上最小真同余存在的条件.
The relationship between the congruences on T(X,Y,θ) and the T~θ-equivalences
on the set Y is investigated. The homomorphism C from the congruence lattice C(T(X,Y,θ))
onto the T~θ-equivalence lattice T_(eq)~θ(Y) and the homomorphism γ from T_(eq)~θ(Y) into C(T(X,Y,θ))
are established. And the conditions when there exist the smallest proper T~θ-equivalence on Y
and the smallest proper congruence on T(X,Y,θ) are discussed.
出处
《数学进展》
CSCD
北大核心
2004年第3期284-290,共7页
Advances in Mathematics（China）
基金
河南省自然科学基金(994052900)
