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Abstract Let C be an additive category equipped with an automorphism Σ. We show how to obtain n-angulations of ( C , Σ ) using some particular periodic injective resolutions.… Click to show full abstract
Abstract Let C be an additive category equipped with an automorphism Σ. We show how to obtain n-angulations of ( C , Σ ) using some particular periodic injective resolutions. We give necessary and sufficient conditions on ( C , Σ ) admitting an n-angulation. Then we apply these characterizations to explain the standard construction of n-angulated categories and the n-angulated categories arising from some local rings. Moreover, we obtain a class of new examples of n -angulated categories from quasi-periodic selfinjective algebras .
Keywords:
angulated categories;
general construction;
construction angulated;
injective resolutions;
periodic injective
Journal Title: Journal of Pure and Applied Algebra
Year Published: 2019
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Journal Title: Journal of Pure and Applied Algebra
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!