作　　者： ; ; ;

机构地区： 河南大学计算机与信息工程学院

出　　处： 《西南交通大学学报》 2003年第6期708-711,共4页

摘　　要： 引入幂分子格范畴、L底幂分子格范畴、幂拓扑分子格范畴和L底幂拓扑分子格范畴.给出幂分子格范畴与分子格范畴、L底幂分子格范畴与幂分子格范畴、幂拓扑分子格范畴与拓扑分子格范畴以及L底幂拓扑分子格范畴与幂拓扑分子格范畴之间的关系.证明了一族幂分子格的" 积"是其在幂分子格范畴中的乘积,一族L底幂分子格的"积"是其在L底幂分子格范畴中的乘积,一族幂拓扑分子格的" 积"是其在幂拓扑分子格范畴中的乘积,一族L底幂拓扑分子格的"积"是其在L底幂拓扑分子格范畴中的乘积. Four categories, power molecular lattice category, Lbase power molecular lattice category, power topological molecular lattice category and Lbase power topological molecular lattice category, were defined. The relations between power molecular lattice and molecular lattice categories, Lbase power molecular lattice and power molecular lattice categories, power topological molecular lattice and topological molecular lattice categories, and Lbase power topological molecular lattice and power topological molecular lattice categories were discussed. It was proved that a product of power molecular lattices is the product in power molecular lattice category, a product of Lbase power molecular lattices is the product in Lbase power molecular lattice category, a product of power topological molecular lattices is the product in power topological molecular lattice category, and a product of Lbase power topological molecular lattices is the product in Lbase power topological molecular lattice category

关 键 词： 范畴论 格 幂拓扑分子格 乘积

领　　域： [理学] [理学]