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This chapter focuses on abstract characterizations. It is shown that one of the basic ways of giving abstract characterization is via a Universal Mapping Property (UMP). Epis and monos, initial and terminal objects, generalized elements, sections and retractions, products, categories with products, and hom-sets are discussed. Exercises are provided in the last part of the chapter.
Keywords: abstract characterization; Universal Mapping Property; epis and monos; initial objects; terminal objects; generalized elements; hom-sets
Chapter. 7868 words. Illustrated.
Subjects: algebra
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