Jiang, Baoqing; Wang, Wei; Qin, Keyun Power topological molecular lattice category and its product operation. (Chinese. English summary) Zbl 1047.18007 J. Southwest Jiaotong Univ. 38, No. 6, 708-711 (2003). Summary: 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, are 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 are discussed. It is proved that a \(\otimes\)-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 \(\otimes\)-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. MSC: 18B35 Preorders, orders, domains and lattices (viewed as categories) 18A30 Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) PDFBibTeX XMLCite \textit{B. Jiang} et al., J. Southwest Jiaotong Univ. 38, No. 6, 708--711 (2003; Zbl 1047.18007)