Geodesic
On $n$-exact categories
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 4, pp. 1089-1099
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An $n$-exact category is a pair consisting of an additive category and a class of sequences with $n+2$ terms satisfying certain axioms. We introduce $n$-weakly idempotent complete categories. Then we prove that an additive $n$-weakly idempotent complete category together with the class $\mathcal {C}_n$ of all contractible sequences with $n+2$ terms is an $n$-exact category. Some properties of the class $\mathcal {C}_n$ are also discussed.
An $n$-exact category is a pair consisting of an additive category and a class of sequences with $n+2$ terms satisfying certain axioms. We introduce $n$-weakly idempotent complete categories. Then we prove that an additive $n$-weakly idempotent complete category together with the class $\mathcal {C}_n$ of all contractible sequences with $n+2$ terms is an $n$-exact category. Some properties of the class $\mathcal {C}_n$ are also discussed.
DOI : 10.21136/CMJ.2019.0067-18
Classification : 18E10, 18E99
Keywords: $n$-exact category; contractible sequence; idempotent complete category 
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Manjra, Said. On $n$-exact categories. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 4, pp. 1089-1099. doi: 10.21136/CMJ.2019.0067-18

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