A note on divisible residuated lattices

A note on divisible residuated lattices
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关于可分残差格的注解

DOI:
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发表时间:
2012
期刊:
四川大学学报(自然科学版)
影响因子:
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通讯作者:
Zhang Dexue
Zhang Dexue
中科院分区:
其他
文献类型:
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作者:
Pu Qiang;Zhang Dexue

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Let L be a divisible residuated lattice.It is shown that for each a∈L,there is a natural way to make the lattice {x∈L | x≤a) into a divisible residuated lattice L_a.Furthermore,if L is prelinear(a generalized MV-algebra) then so is L_a.