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PRODUCTS AND COPRODUCTS IN CATEGORY OF COMPLETELY DISTRIBUTIVE LATTICES AND THEIR STRUCTURES

PRODUCTS AND COPRODUCTS IN CATEGORY OF COMPLETELY DISTRIBUTIVE LATTICES AND THEIR STRUCTURES
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摘要 Taking completely distributive lattices for objects and complete lattice homomorphisms for morphisms, we get a category Lat (see Refs. [1—3]). There is a primary question about Lat: Does every family of objects have product and coproduct in Lat? We prove that Lat has products and coproducts, and describe the intrinsic relation between <正> Taking completely distributive lattices for objects and complete lattice homomorphisms for morphisms, we get a category Lat (see Refs. [1—3]). There is a primary question about Lat: Does every family of objects have product and coproduct in Lat? We prove that Lat has products and coproducts, and describe the intrinsic relation between the
作者 徐晓泉
出处 《Chinese Science Bulletin》 SCIE EI CAS 1991年第6期441-444,共4页
基金 Project supported partly by the National Natural Science Foundation of China.
关键词 CATEGORY of COMPLETELY DISTRIBUTIVE LATTICES PRODUCTS and coproducts GALOIS connection induced mapping. CATEGORY OF COMPLETELY DISTRIBUTIVE LATTICES PRODUCTS AND COPRODUCTS GALOIS CONNECTION INDUCED MAPPING
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