J4 ›› 2010, Vol. 45 ›› Issue (4): 66-71.
• 论文 •
LIU Chun-hui1, XU Luo-shan2
The ideals in residuated lattice are studied. Some properties of ideals are given, and a congruence relation is structured based on the notion of ideals in residuated lattice. It is proved that the quotient algebra of a residuated lattice under this congruence relation is also a residuated lattice. Some characterization theories of ideals in regular residuated lattice are obtained.
residuated lattices; regular residuated lattices; ideals; congruence relation; characterization theory
刘春辉1,徐罗山2. 关于剩余格的理想[J]. J4, 2010, 45(4): 66-71.
LIU Chun-hui1, XU Luo-shan2. On ideals of residuated lattices[J]. J4, 2010, 45(4): 66-71.
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