Centrality and normality in protomodular categories.
Bourn, Dominique, Gran, Marino (2001)
Theory and Applications of Categories [electronic only]
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Bourn, Dominique, Gran, Marino (2001)
Theory and Applications of Categories [electronic only]
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Bourn, D., Janelidze, G. (1998)
Theory and Applications of Categories [electronic only]
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Lack, Stephen (1999)
Theory and Applications of Categories [electronic only]
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Diers, Yves (2005)
Theory and Applications of Categories [electronic only]
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Stephen Lack, Paweł Sobociński (2010)
RAIRO - Theoretical Informatics and Applications
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We introduce adhesive categories, which are categories with structure ensuring that pushouts along monomorphisms are well-behaved, as well as quasiadhesive categories which restrict attention to regular monomorphisms. Many examples of graphical structures used in computer science are shown to be examples of adhesive and quasiadhesive categories. Double-pushout graph rewriting generalizes well to rewriting on arbitrary adhesive and quasiadhesive categories.