On n -exact categories

Said Manjra

Czechoslovak Mathematical Journal (2019)

  • Volume: 69, Issue: 4, page 1089-1099
  • ISSN: 0011-4642

Abstract

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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 𝒞 n of all contractible sequences with n + 2 terms is an n -exact category. Some properties of the class 𝒞 n are also discussed.

How to cite

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Manjra, Said. "On $n$-exact categories." Czechoslovak Mathematical Journal 69.4 (2019): 1089-1099. <http://eudml.org/doc/294517>.

@article{Manjra2019,
abstract = {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.},
author = {Manjra, Said},
journal = {Czechoslovak Mathematical Journal},
keywords = {$n$-exact category; contractible sequence; idempotent complete category},
language = {eng},
number = {4},
pages = {1089-1099},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On $n$-exact categories},
url = {http://eudml.org/doc/294517},
volume = {69},
year = {2019},
}

TY - JOUR
AU - Manjra, Said
TI - On $n$-exact categories
JO - Czechoslovak Mathematical Journal
PY - 2019
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 4
SP - 1089
EP - 1099
AB - 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.
LA - eng
KW - $n$-exact category; contractible sequence; idempotent complete category
UR - http://eudml.org/doc/294517
ER -

References

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