数学杂志2018，Vol.38Issue(3)：467-472,6.
带有同态运算的分配格
DISTRIBUTIVE LATTICES WITH A HOMOMORPHIC OPERATION
摘要
Abstract
In this paper,we initiate an investigation into the class eD of extended bounded distributive lattices,namely,bounded distributive lattices endowed with an unary operation,which is an endomorphism. By using the set of fixed points and congruences,we characterise the(finitely) subdirectly irreducible algebras in ep,qD. In particular, we show that for every algebra in ep,qD, the properties of being finitely subdirectly irreducible and subdirectly irreducible are equivalent. Some results obtained by Balbes and Dwinger on semilattices, distributive lattices and Boolean algebras are generalized.关键词
扩展有界分配格/同余关系/次直不可约Key words
extended bounded distributive lattice/congruence/subdirectly irreducible分类
数理科学引用本文复制引用
罗从文,王高峡..带有同态运算的分配格[J].数学杂志,2018,38(3):467-472,6.基金项目
Supported by the Natural Science Found of Hubei Provence(2013CFB216). （2013CFB216）
