具有布尔同余格的HMS-代数

HMS-algebras Whose Congruence Lattices are Boolean

利用HMS-代数L的同余格的结构特征证明了L的同余格是布尔格当且仅当L是布尔代数且L的每个滤子都有最小元,当且仅当L是布尔代数及同余格与L是偶同构。

By using the structure characteristics of the congruence lattice on a algebra L,we show that L has the Boolean congruence lattice if and only if L is Boolean and every cokernel filter of L has the smallest element if and only if L is Boolean,and the congruence lattice and L are dually isomorphic.