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Herschend-Liu-Nakaoka introduced the notion of $n$-exangulated categories. It is not only a higher dimensional analogue of extriangulated categories defined by Nakaoka-Palu, but also gives a simultaneous generalization of $n$-exact…

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This paper has been withdrawn by the author, due to possible counter-examples.

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This paper has been withdrawn by the authors. A substantially altered paper will be submitted incorporating major corrections, additions and improvements.

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This paper has been withdrawn by the authors because the paper is largely revised and improved, and to appear in Mechanics Research Communications.

The paper has been withdrawn by the author, due to it being fundamentally flawed. The author apologizes for any inconvenience it may have caused.

This paper has been withdrawn by the author due to an error in the proof of Theorem 2.

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The paper has been withdrawn by the author due to a crucial error.