Localization of extriangulated categories

نویسندگان

چکیده

In this article, we show that the localization of an extriangulated category by a multiplicative system satisfying mild assumptions can be equipped with natural, universal structure category. This construction unifies Serre quotient abelian categories and Verdier triangulated categories. Indeed give such for bit wider class morphisms, so it covers several other localizations appeared in literature, as Rump's exact biresolving subcategories, means Hovey twin cotorsion pairs, two-sided admissibly percolating subcategories.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Localization for Triangulated Categories

Contents 1. Introduction 1 2. Categories of fractions and localization functors 3 3. Calculus of fractions 9 4. Localization for triangulated categories 13 5. Localization via Brown representatbility 23 6. Well generated triangulated categories 31 7. Localization for well generated categories 38 8. Epilogue: Beyond well-generatedness 46 Appendix A. The abelianization of a triangulated category ...

متن کامل

Simplicial Localization ! 3 of Categories

1.1. The simplicial localization. The localization of a category C with respect to a subcategory W is the category C[W-‘1 which has the same objects as C and is obtained from C by formally inverting the maps of W. Our purpose here is to show that C[W-‘1 reflects just one aspect of a much richer object, the simplicial localization LC. This simplicial localization LC is a simplicial category with...

متن کامل

Localization Theory for Triangulated Categories

Contents 1. Introduction 1 2. Categories of fractions and localization functors 3 3. Calculus of fractions 9 4. Localization for triangulated categories 14 5. Localization via Brown representability 24 6. Well generated triangulated categories 31 7. Localization for well generated categories 39 8. Epilogue: Beyond well generatedness 47 Appendix A. The abelianization of a triangulated category 4...

متن کامل

Localization of Enriched Categories and Cubical Sets

The invertibility hypothesis for a monoidal model category S asks that localizing an S-enriched category with respect to an equivalence results in an weakly equivalent enriched category. This is the most technical among the axioms for S to be an excellent model category in the sense of Lurie, who showed that the category CatS of S-enriched categories then has a model structure with characteriza...

متن کامل

Bousfield Localization of Monoidal Model Categories

I do my research in the context of model categories, sometimes specializing to the category Spectra in particular. I want to be able to apply algebraic ideas and methods to these categories, and I do so by replacing algebraic concepts by their categorical analogs. Every talk I give includes diagrams defining a ring object in a category. My research tends to be of the flavor: take some cool thin...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2022

ISSN: ['1090-266X', '0021-8693']

DOI: https://doi.org/10.1016/j.jalgebra.2022.08.008