## “School of Mathematics”

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Paper   IPM / M / 16729
 School of Mathematics Title: Gabriel-Quillen embedding for N-exact categories Author(s): Ramin Ebrahimi Status: To Appear Journal: Comm. Algebra Supported by: IPM
Abstract:
Our first aim is to provide an analog of the Gabriel-Quillen embedding theorem for n-exact categories. Also we give an example of an n-exact category that in not an n-cluster tilting subcategory, and we suggest two possible ways for realizing n-exact categories as n-cluster tilting subcategory.

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