论文标题
Nilpotency and Hamiltonian属性用于取消残留的晶格
Nilpotency and the Hamiltonian property for cancellative residuated lattices
论文作者
论文摘要
本文研究了Nilpotent和Hamiltonian取消的残留晶格及其与Nilpotent和Hamiltonian晶格订购的组的关系。特别是，有关晶格订购组的结果扩展到了残留的格子域。本文考虑的两种关键要素是矿石残留的格子和晶格订购的组之间的分类等效性。 Malcev在半群方程中对给定的nilpotency C类的nilpotent组的描述。
The present article studies nilpotent and Hamiltonian cancellative residuated lattices and their relationship with nilpotent and Hamiltonian lattice-ordered groups. In particular, results about lattice-ordered groups are extended to the domain of residuated lattices. The two key ingredients that underlie the considerations of this paper are the categorical equivalence between Ore residuated lattices and lattice-ordered groups endowed with a suitable modal operator; and Malcev's description of nilpotent groups of a given nilpotency class c in terms of a semigroup equation.
