摘要
引入一种半格———Ｄ半格，建立了Ｄ－半格的表示理论，利用它得到了Ｌｄｏｍａｉｎ（即局部代数格）的表示理论；证明了Ｌｄｏｍａｉｎ与稳定映射范畴对偶等价于稳定Ｄ半格与Ｄ－半格同态范畴．
The author introduces a kind of semilattice calledD-semilattice, and establishes its representation theory. By using this theory, the author gives the representation theory of L-domain (i.e. locally algebraic lattice). In the end, the author obtains a dual equivalence between the category of L-domain and stable function and that of stable D-semilattice and homomorphism of D-semilattice.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
1998年第4期737-742,共6页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金
关键词
半格
DOMAIN
稳定映射
表示定量
局部代数格
Semilattices, Domain, Scott open sets,Stable functions, Representations, Categorical equivalence
